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Finding the Fourth Proportional to 71,902.36, 107,780.10 and 25,116.76

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Solution

The fourth proportional to 71,902.36, 107,780.10 and 25,116.76 is: 37,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.36 : 107,780.10 = 25,116.76 : x
  2. Step 2: Convert to fraction form
    71,902.36/107,780.10 = 25,116.76/x
  3. Step 3: Cross multiply
    71,902.36x = 107,780.10 × 25,116.76
  4. Step 4: Simplify right side
    71,902.36x = 2,707,086,904.48
  5. Step 5: Solve for x
    x = 2,707,086,904.48/71,902.36
  6. Step 6: Final answer
    x = 37,649.49

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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.