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Finding the Fourth Proportional to 54,148.64, 74,724.56 and 31,788.32

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Solution

The fourth proportional to 54,148.64, 74,724.56 and 31,788.32 is: 43,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148.64 : 74,724.56 = 31,788.32 : x
  2. Step 2: Convert to fraction form
    54,148.64/74,724.56 = 31,788.32/x
  3. Step 3: Cross multiply
    54,148.64x = 74,724.56 × 31,788.32
  4. Step 4: Simplify right side
    54,148.64x = 2,375,368,225.14
  5. Step 5: Solve for x
    x = 2,375,368,225.14/54,148.64
  6. Step 6: Final answer
    x = 43,867.55

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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.