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Finding the Fourth Proportional to 78,042.02, 107,744.38 and 51,231.42

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Solution

The fourth proportional to 78,042.02, 107,744.38 and 51,231.42 is: 70,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.02 : 107,744.38 = 51,231.42 : x
  2. Step 2: Convert to fraction form
    78,042.02/107,744.38 = 51,231.42/x
  3. Step 3: Cross multiply
    78,042.02x = 107,744.38 × 51,231.42
  4. Step 4: Simplify right side
    78,042.02x = 5,519,897,456.34
  5. Step 5: Solve for x
    x = 5,519,897,456.34/78,042.02
  6. Step 6: Final answer
    x = 70,729.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.