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Finding the Fourth Proportional to 54,034.25, 74,575.91 and 31,678.25

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Solution

The fourth proportional to 54,034.25, 74,575.91 and 31,678.25 is: 43,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034.25 : 74,575.91 = 31,678.25 : x
  2. Step 2: Convert to fraction form
    54,034.25/74,575.91 = 31,678.25/x
  3. Step 3: Cross multiply
    54,034.25x = 74,575.91 × 31,678.25
  4. Step 4: Simplify right side
    54,034.25x = 2,362,434,320.96
  5. Step 5: Solve for x
    x = 2,362,434,320.96/54,034.25
  6. Step 6: Final answer
    x = 43,721.05

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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.