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Finding the Fourth Proportional to 54,072.90, 74,616.12 and 31,404.66

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Solution

The fourth proportional to 54,072.90, 74,616.12 and 31,404.66 is: 43,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072.90 : 74,616.12 = 31,404.66 : x
  2. Step 2: Convert to fraction form
    54,072.90/74,616.12 = 31,404.66/x
  3. Step 3: Cross multiply
    54,072.90x = 74,616.12 × 31,404.66
  4. Step 4: Simplify right side
    54,072.90x = 2,343,293,879.12
  5. Step 5: Solve for x
    x = 2,343,293,879.12/54,072.90
  6. Step 6: Final answer
    x = 43,335.83

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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.