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Finding the Fourth Proportional to 82,951,972.90, 124,427,959.35 and 31,136,475.40

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Solution

The fourth proportional to 82,951,972.90, 124,427,959.35 and 31,136,475.40 is: 46,704,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,951,972.90 : 124,427,959.35 = 31,136,475.40 : x
  2. Step 2: Convert to fraction form
    82,951,972.90/124,427,959.35 = 31,136,475.40/x
  3. Step 3: Cross multiply
    82,951,972.90x = 124,427,959.35 × 31,136,475.40
  4. Step 4: Simplify right side
    82,951,972.90x = 3,874,248,095,373,474.50
  5. Step 5: Solve for x
    x = 3,874,248,095,373,474.50/82,951,972.90
  6. Step 6: Final answer
    x = 46,704,713.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.