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Finding the Fourth Proportional to 49,839.64, 74,773.89 and 14,780.14

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Solution

The fourth proportional to 49,839.64, 74,773.89 and 14,780.14 is: 22,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,839.64 : 74,773.89 = 14,780.14 : x
  2. Step 2: Convert to fraction form
    49,839.64/74,773.89 = 14,780.14/x
  3. Step 3: Cross multiply
    49,839.64x = 74,773.89 × 14,780.14
  4. Step 4: Simplify right side
    49,839.64x = 1,105,168,562.54
  5. Step 5: Solve for x
    x = 1,105,168,562.54/49,839.64
  6. Step 6: Final answer
    x = 22,174.49

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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.