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Finding the Fourth Proportional to 103,876.22, 155,691.32 and 47,668.96

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Solution

The fourth proportional to 103,876.22, 155,691.32 and 47,668.96 is: 71,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,876.22 : 155,691.32 = 47,668.96 : x
  2. Step 2: Convert to fraction form
    103,876.22/155,691.32 = 47,668.96/x
  3. Step 3: Cross multiply
    103,876.22x = 155,691.32 × 47,668.96
  4. Step 4: Simplify right side
    103,876.22x = 7,421,642,385.93
  5. Step 5: Solve for x
    x = 7,421,642,385.93/103,876.22
  6. Step 6: Final answer
    x = 71,446.98

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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.