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Finding the Fourth Proportional to 37,431.30, 51,641.90 and 24,009.78

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Solution

The fourth proportional to 37,431.30, 51,641.90 and 24,009.78 is: 33,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431.30 : 51,641.90 = 24,009.78 : x
  2. Step 2: Convert to fraction form
    37,431.30/51,641.90 = 24,009.78/x
  3. Step 3: Cross multiply
    37,431.30x = 51,641.90 × 24,009.78
  4. Step 4: Simplify right side
    37,431.30x = 1,239,910,657.78
  5. Step 5: Solve for x
    x = 1,239,910,657.78/37,431.30
  6. Step 6: Final answer
    x = 33,124.97

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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.