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Finding the Fourth Proportional to 37,542.69, 51,788.16 and 24,115.93

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Solution

The fourth proportional to 37,542.69, 51,788.16 and 24,115.93 is: 33,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542.69 : 51,788.16 = 24,115.93 : x
  2. Step 2: Convert to fraction form
    37,542.69/51,788.16 = 24,115.93/x
  3. Step 3: Cross multiply
    37,542.69x = 51,788.16 × 24,115.93
  4. Step 4: Simplify right side
    37,542.69x = 1,248,919,511.92
  5. Step 5: Solve for x
    x = 1,248,919,511.92/37,542.69
  6. Step 6: Final answer
    x = 33,266.65

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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.