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Finding the Fourth Proportional to 71,024.28, 106,547.92 and 26,654.48

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Solution

The fourth proportional to 71,024.28, 106,547.92 and 26,654.48 is: 39,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024.28 : 106,547.92 = 26,654.48 : x
  2. Step 2: Convert to fraction form
    71,024.28/106,547.92 = 26,654.48/x
  3. Step 3: Cross multiply
    71,024.28x = 106,547.92 × 26,654.48
  4. Step 4: Simplify right side
    71,024.28x = 2,839,979,402.68
  5. Step 5: Solve for x
    x = 2,839,979,402.68/71,024.28
  6. Step 6: Final answer
    x = 39,986.04

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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.