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Finding the Fourth Proportional to 52,169.67, 78,238.10 and 17,101.13

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Solution

The fourth proportional to 52,169.67, 78,238.10 and 17,101.13 is: 25,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,169.67 : 78,238.10 = 17,101.13 : x
  2. Step 2: Convert to fraction form
    52,169.67/78,238.10 = 17,101.13/x
  3. Step 3: Cross multiply
    52,169.67x = 78,238.10 × 17,101.13
  4. Step 4: Simplify right side
    52,169.67x = 1,337,959,570.62
  5. Step 5: Solve for x
    x = 1,337,959,570.62/52,169.67
  6. Step 6: Final answer
    x = 25,646.31

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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.