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Finding the Fourth Proportional to 47,892.86, 71,814.68 and 25,724.88

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Solution

The fourth proportional to 47,892.86, 71,814.68 and 25,724.88 is: 38,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.86 : 71,814.68 = 25,724.88 : x
  2. Step 2: Convert to fraction form
    47,892.86/71,814.68 = 25,724.88/x
  3. Step 3: Cross multiply
    47,892.86x = 71,814.68 × 25,724.88
  4. Step 4: Simplify right side
    47,892.86x = 1,847,424,025.24
  5. Step 5: Solve for x
    x = 1,847,424,025.24/47,892.86
  6. Step 6: Final answer
    x = 38,574.10

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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.