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Finding the Fourth Proportional to 31,432.68, 47,087.40 and 18,257.52

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Solution

The fourth proportional to 31,432.68, 47,087.40 and 18,257.52 is: 27,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.68 : 47,087.40 = 18,257.52 : x
  2. Step 2: Convert to fraction form
    31,432.68/47,087.40 = 18,257.52/x
  3. Step 3: Cross multiply
    31,432.68x = 47,087.40 × 18,257.52
  4. Step 4: Simplify right side
    31,432.68x = 859,699,147.25
  5. Step 5: Solve for x
    x = 859,699,147.25/31,432.68
  6. Step 6: Final answer
    x = 27,350.49

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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.