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Finding the Fourth Proportional to 37,456.68, 51,677.82 and 24,716.19

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Solution

The fourth proportional to 37,456.68, 51,677.82 and 24,716.19 is: 34,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456.68 : 51,677.82 = 24,716.19 : x
  2. Step 2: Convert to fraction form
    37,456.68/51,677.82 = 24,716.19/x
  3. Step 3: Cross multiply
    37,456.68x = 51,677.82 × 24,716.19
  4. Step 4: Simplify right side
    37,456.68x = 1,277,278,817.91
  5. Step 5: Solve for x
    x = 1,277,278,817.91/37,456.68
  6. Step 6: Final answer
    x = 34,100.16

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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.