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Finding the Fourth Proportional to 42,141.68, 63,175.39 and 17,202.68

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Solution

The fourth proportional to 42,141.68, 63,175.39 and 17,202.68 is: 25,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,141.68 : 63,175.39 = 17,202.68 : x
  2. Step 2: Convert to fraction form
    42,141.68/63,175.39 = 17,202.68/x
  3. Step 3: Cross multiply
    42,141.68x = 63,175.39 × 17,202.68
  4. Step 4: Simplify right side
    42,141.68x = 1,086,786,132.98
  5. Step 5: Solve for x
    x = 1,086,786,132.98/42,141.68
  6. Step 6: Final answer
    x = 25,788.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.