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Finding the Fourth Proportional to 52,122.53, 71,929.19 and 28,249.13

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Solution

The fourth proportional to 52,122.53, 71,929.19 and 28,249.13 is: 38,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122.53 : 71,929.19 = 28,249.13 : x
  2. Step 2: Convert to fraction form
    52,122.53/71,929.19 = 28,249.13/x
  3. Step 3: Cross multiply
    52,122.53x = 71,929.19 × 28,249.13
  4. Step 4: Simplify right side
    52,122.53x = 2,031,937,039.10
  5. Step 5: Solve for x
    x = 2,031,937,039.10/52,122.53
  6. Step 6: Final answer
    x = 38,983.85

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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.