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Finding the Fourth Proportional to 57,644.64, 86,446.10 and 24,367.28

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Solution

The fourth proportional to 57,644.64, 86,446.10 and 24,367.28 is: 36,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.64 : 86,446.10 = 24,367.28 : x
  2. Step 2: Convert to fraction form
    57,644.64/86,446.10 = 24,367.28/x
  3. Step 3: Cross multiply
    57,644.64x = 86,446.10 × 24,367.28
  4. Step 4: Simplify right side
    57,644.64x = 2,106,456,323.61
  5. Step 5: Solve for x
    x = 2,106,456,323.61/57,644.64
  6. Step 6: Final answer
    x = 36,542.10

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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.