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Finding the Fourth Proportional to 67,842, 101,772.26 and 23,456.83

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Solution

The fourth proportional to 67,842, 101,772.26 and 23,456.83 is: 35,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842 : 101,772.26 = 23,456.83 : x
  2. Step 2: Convert to fraction form
    67,842/101,772.26 = 23,456.83/x
  3. Step 3: Cross multiply
    67,842x = 101,772.26 × 23,456.83
  4. Step 4: Simplify right side
    67,842x = 2,387,254,601.54
  5. Step 5: Solve for x
    x = 2,387,254,601.54/67,842
  6. Step 6: Final answer
    x = 35,188.45

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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.