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Finding the Fourth Proportional to 69,102.27, 103,691.67 and 64,083.10

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Solution

The fourth proportional to 69,102.27, 103,691.67 and 64,083.10 is: 96,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.27 : 103,691.67 = 64,083.10 : x
  2. Step 2: Convert to fraction form
    69,102.27/103,691.67 = 64,083.10/x
  3. Step 3: Cross multiply
    69,102.27x = 103,691.67 × 64,083.10
  4. Step 4: Simplify right side
    69,102.27x = 6,644,883,657.78
  5. Step 5: Solve for x
    x = 6,644,883,657.78/69,102.27
  6. Step 6: Final answer
    x = 96,160.14

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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.