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Finding the Fourth Proportional to 57,732.64, 86,608.02 and 24,452.89

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Solution

The fourth proportional to 57,732.64, 86,608.02 and 24,452.89 is: 36,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732.64 : 86,608.02 = 24,452.89 : x
  2. Step 2: Convert to fraction form
    57,732.64/86,608.02 = 24,452.89/x
  3. Step 3: Cross multiply
    57,732.64x = 86,608.02 × 24,452.89
  4. Step 4: Simplify right side
    57,732.64x = 2,117,816,386.18
  5. Step 5: Solve for x
    x = 2,117,816,386.18/57,732.64
  6. Step 6: Final answer
    x = 36,683.17

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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.