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Finding the Fourth Proportional to 69,098.92, 103,637.30 and 24,717.40

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Solution

The fourth proportional to 69,098.92, 103,637.30 and 24,717.40 is: 37,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098.92 : 103,637.30 = 24,717.40 : x
  2. Step 2: Convert to fraction form
    69,098.92/103,637.30 = 24,717.40/x
  3. Step 3: Cross multiply
    69,098.92x = 103,637.30 × 24,717.40
  4. Step 4: Simplify right side
    69,098.92x = 2,561,644,599.02
  5. Step 5: Solve for x
    x = 2,561,644,599.02/69,098.92
  6. Step 6: Final answer
    x = 37,072.14

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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.