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Finding the Fourth Proportional to 47,114.92, 70,691.10 and 19,406.44

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Solution

The fourth proportional to 47,114.92, 70,691.10 and 19,406.44 is: 29,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114.92 : 70,691.10 = 19,406.44 : x
  2. Step 2: Convert to fraction form
    47,114.92/70,691.10 = 19,406.44/x
  3. Step 3: Cross multiply
    47,114.92x = 70,691.10 × 19,406.44
  4. Step 4: Simplify right side
    47,114.92x = 1,371,862,590.68
  5. Step 5: Solve for x
    x = 1,371,862,590.68/47,114.92
  6. Step 6: Final answer
    x = 29,117.37

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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.