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Finding the Fourth Proportional to 57,734.64, 86,611.02 and 24,454.89

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Solution

The fourth proportional to 57,734.64, 86,611.02 and 24,454.89 is: 36,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734.64 : 86,611.02 = 24,454.89 : x
  2. Step 2: Convert to fraction form
    57,734.64/86,611.02 = 24,454.89/x
  3. Step 3: Cross multiply
    57,734.64x = 86,611.02 × 24,454.89
  4. Step 4: Simplify right side
    57,734.64x = 2,118,062,966.89
  5. Step 5: Solve for x
    x = 2,118,062,966.89/57,734.64
  6. Step 6: Final answer
    x = 36,686.17

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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.