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Finding the Fourth Proportional to 49,422.96, 74,056.76 and 38,205.78

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Solution

The fourth proportional to 49,422.96, 74,056.76 and 38,205.78 is: 57,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,422.96 : 74,056.76 = 38,205.78 : x
  2. Step 2: Convert to fraction form
    49,422.96/74,056.76 = 38,205.78/x
  3. Step 3: Cross multiply
    49,422.96x = 74,056.76 × 38,205.78
  4. Step 4: Simplify right side
    49,422.96x = 2,829,396,280.07
  5. Step 5: Solve for x
    x = 2,829,396,280.07/49,422.96
  6. Step 6: Final answer
    x = 57,248.62

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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.