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Finding the Fourth Proportional to 54,024, 74,561.76 and 31,668

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Solution

The fourth proportional to 54,024, 74,561.76 and 31,668 is: 43,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,024 : 74,561.76 = 31,668 : x
  2. Step 2: Convert to fraction form
    54,024/74,561.76 = 31,668/x
  3. Step 3: Cross multiply
    54,024x = 74,561.76 × 31,668
  4. Step 4: Simplify right side
    54,024x = 2,361,221,815.68
  5. Step 5: Solve for x
    x = 2,361,221,815.68/54,024
  6. Step 6: Final answer
    x = 43,706.90

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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.