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Finding the Fourth Proportional to 57,824.82, 86,737.20 and 16,271.82

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Solution

The fourth proportional to 57,824.82, 86,737.20 and 16,271.82 is: 24,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824.82 : 86,737.20 = 16,271.82 : x
  2. Step 2: Convert to fraction form
    57,824.82/86,737.20 = 16,271.82/x
  3. Step 3: Cross multiply
    57,824.82x = 86,737.20 × 16,271.82
  4. Step 4: Simplify right side
    57,824.82x = 1,411,372,105.70
  5. Step 5: Solve for x
    x = 1,411,372,105.70/57,824.82
  6. Step 6: Final answer
    x = 24,407.72

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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.