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Finding the Fourth Proportional to 47,892, 71,849.52 and 15,060

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Solution

The fourth proportional to 47,892, 71,849.52 and 15,060 is: 22,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892 : 71,849.52 = 15,060 : x
  2. Step 2: Convert to fraction form
    47,892/71,849.52 = 15,060/x
  3. Step 3: Cross multiply
    47,892x = 71,849.52 × 15,060
  4. Step 4: Simplify right side
    47,892x = 1,082,053,771.20
  5. Step 5: Solve for x
    x = 1,082,053,771.20/47,892
  6. Step 6: Final answer
    x = 22,593.62

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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.