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Finding the Fourth Proportional to 82,701.56, 114,130.72 and 46,893.08

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Solution

The fourth proportional to 82,701.56, 114,130.72 and 46,893.08 is: 64,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,701.56 : 114,130.72 = 46,893.08 : x
  2. Step 2: Convert to fraction form
    82,701.56/114,130.72 = 46,893.08/x
  3. Step 3: Cross multiply
    82,701.56x = 114,130.72 × 46,893.08
  4. Step 4: Simplify right side
    82,701.56x = 5,351,940,983.42
  5. Step 5: Solve for x
    x = 5,351,940,983.42/82,701.56
  6. Step 6: Final answer
    x = 64,713.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.