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Finding the Fourth Proportional to 38,463.60, 57,742.20 and 24,423.60

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Solution

The fourth proportional to 38,463.60, 57,742.20 and 24,423.60 is: 36,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463.60 : 57,742.20 = 24,423.60 : x
  2. Step 2: Convert to fraction form
    38,463.60/57,742.20 = 24,423.60/x
  3. Step 3: Cross multiply
    38,463.60x = 57,742.20 × 24,423.60
  4. Step 4: Simplify right side
    38,463.60x = 1,410,272,395.92
  5. Step 5: Solve for x
    x = 1,410,272,395.92/38,463.60
  6. Step 6: Final answer
    x = 36,665.12

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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.