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Finding the Fourth Proportional to 82,053.90, 122,994.45 and 32,114.70

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Solution

The fourth proportional to 82,053.90, 122,994.45 and 32,114.70 is: 48,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.90 : 122,994.45 = 32,114.70 : x
  2. Step 2: Convert to fraction form
    82,053.90/122,994.45 = 32,114.70/x
  3. Step 3: Cross multiply
    82,053.90x = 122,994.45 × 32,114.70
  4. Step 4: Simplify right side
    82,053.90x = 3,949,929,863.42
  5. Step 5: Solve for x
    x = 3,949,929,863.42/82,053.90
  6. Step 6: Final answer
    x = 48,138.23

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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.