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Finding the Fourth Proportional to 57,286.62, 85,931.37 and 15,733.50

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Solution

The fourth proportional to 57,286.62, 85,931.37 and 15,733.50 is: 23,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,286.62 : 85,931.37 = 15,733.50 : x
  2. Step 2: Convert to fraction form
    57,286.62/85,931.37 = 15,733.50/x
  3. Step 3: Cross multiply
    57,286.62x = 85,931.37 × 15,733.50
  4. Step 4: Simplify right side
    57,286.62x = 1,352,001,209.90
  5. Step 5: Solve for x
    x = 1,352,001,209.90/57,286.62
  6. Step 6: Final answer
    x = 23,600.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.