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Finding the Fourth Proportional to 19,542.78, 29,319.12 and 5,691.78

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Solution

The fourth proportional to 19,542.78, 29,319.12 and 5,691.78 is: 8,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.78 : 29,319.12 = 5,691.78 : x
  2. Step 2: Convert to fraction form
    19,542.78/29,319.12 = 5,691.78/x
  3. Step 3: Cross multiply
    19,542.78x = 29,319.12 × 5,691.78
  4. Step 4: Simplify right side
    19,542.78x = 166,877,980.83
  5. Step 5: Solve for x
    x = 166,877,980.83/19,542.78
  6. Step 6: Final answer
    x = 8,539.11

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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.