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Finding the Fourth Proportional to 71,098.38, 106,644.33 and 17,790.93

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Solution

The fourth proportional to 71,098.38, 106,644.33 and 17,790.93 is: 26,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098.38 : 106,644.33 = 17,790.93 : x
  2. Step 2: Convert to fraction form
    71,098.38/106,644.33 = 17,790.93/x
  3. Step 3: Cross multiply
    71,098.38x = 106,644.33 × 17,790.93
  4. Step 4: Simplify right side
    71,098.38x = 1,897,301,809.93
  5. Step 5: Solve for x
    x = 1,897,301,809.93/71,098.38
  6. Step 6: Final answer
    x = 26,685.58

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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.