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Finding the Fourth Proportional to 53,713.44, 74,121.12 and 29,839.68

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Solution

The fourth proportional to 53,713.44, 74,121.12 and 29,839.68 is: 41,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.44 : 74,121.12 = 29,839.68 : x
  2. Step 2: Convert to fraction form
    53,713.44/74,121.12 = 29,839.68/x
  3. Step 3: Cross multiply
    53,713.44x = 74,121.12 × 29,839.68
  4. Step 4: Simplify right side
    53,713.44x = 2,211,750,502.04
  5. Step 5: Solve for x
    x = 2,211,750,502.04/53,713.44
  6. Step 6: Final answer
    x = 41,176.85

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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.