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Finding the Fourth Proportional to 96,486.71, 144,744.09 and 29,932.16

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Solution

The fourth proportional to 96,486.71, 144,744.09 and 29,932.16 is: 44,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,486.71 : 144,744.09 = 29,932.16 : x
  2. Step 2: Convert to fraction form
    96,486.71/144,744.09 = 29,932.16/x
  3. Step 3: Cross multiply
    96,486.71x = 144,744.09 × 29,932.16
  4. Step 4: Simplify right side
    96,486.71x = 4,332,502,537.21
  5. Step 5: Solve for x
    x = 4,332,502,537.21/96,486.71
  6. Step 6: Final answer
    x = 44,902.59

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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.