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Finding the Fourth Proportional to 57,568.61, 86,364.56 and 24,288.76

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Solution

The fourth proportional to 57,568.61, 86,364.56 and 24,288.76 is: 36,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568.61 : 86,364.56 = 24,288.76 : x
  2. Step 2: Convert to fraction form
    57,568.61/86,364.56 = 24,288.76/x
  3. Step 3: Cross multiply
    57,568.61x = 86,364.56 × 24,288.76
  4. Step 4: Simplify right side
    57,568.61x = 2,097,687,517.08
  5. Step 5: Solve for x
    x = 2,097,687,517.08/57,568.61
  6. Step 6: Final answer
    x = 36,438.04

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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.