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Finding the Fourth Proportional to 54,010.16, 74,538.22 and 29,815.86

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Solution

The fourth proportional to 54,010.16, 74,538.22 and 29,815.86 is: 41,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,010.16 : 74,538.22 = 29,815.86 : x
  2. Step 2: Convert to fraction form
    54,010.16/74,538.22 = 29,815.86/x
  3. Step 3: Cross multiply
    54,010.16x = 74,538.22 × 29,815.86
  4. Step 4: Simplify right side
    54,010.16x = 2,222,421,132.17
  5. Step 5: Solve for x
    x = 2,222,421,132.17/54,010.16
  6. Step 6: Final answer
    x = 41,148.20

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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.