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Finding the Fourth Proportional to 71,085.52, 106,627.74 and 29,532.52

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Solution

The fourth proportional to 71,085.52, 106,627.74 and 29,532.52 is: 44,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085.52 : 106,627.74 = 29,532.52 : x
  2. Step 2: Convert to fraction form
    71,085.52/106,627.74 = 29,532.52/x
  3. Step 3: Cross multiply
    71,085.52x = 106,627.74 × 29,532.52
  4. Step 4: Simplify right side
    71,085.52x = 3,148,985,864.10
  5. Step 5: Solve for x
    x = 3,148,985,864.10/71,085.52
  6. Step 6: Final answer
    x = 44,298.56

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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.