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Finding the Fourth Proportional to 47,487.88, 71,209.76 and 17,494.52

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Solution

The fourth proportional to 47,487.88, 71,209.76 and 17,494.52 is: 26,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,487.88 : 71,209.76 = 17,494.52 : x
  2. Step 2: Convert to fraction form
    47,487.88/71,209.76 = 17,494.52/x
  3. Step 3: Cross multiply
    47,487.88x = 71,209.76 × 17,494.52
  4. Step 4: Simplify right side
    47,487.88x = 1,245,780,570.52
  5. Step 5: Solve for x
    x = 1,245,780,570.52/47,487.88
  6. Step 6: Final answer
    x = 26,233.65

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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.