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Finding the Fourth Proportional to 39,442, 59,164.92 and 11,740.24

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Solution

The fourth proportional to 39,442, 59,164.92 and 11,740.24 is: 17,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,442 : 59,164.92 = 11,740.24 : x
  2. Step 2: Convert to fraction form
    39,442/59,164.92 = 11,740.24/x
  3. Step 3: Cross multiply
    39,442x = 59,164.92 × 11,740.24
  4. Step 4: Simplify right side
    39,442x = 694,610,360.38
  5. Step 5: Solve for x
    x = 694,610,360.38/39,442
  6. Step 6: Final answer
    x = 17,610.93

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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.