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Finding the Fourth Proportional to 54,182.16, 74,764.56 and 32,673

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Solution

The fourth proportional to 54,182.16, 74,764.56 and 32,673 is: 45,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182.16 : 74,764.56 = 32,673 : x
  2. Step 2: Convert to fraction form
    54,182.16/74,764.56 = 32,673/x
  3. Step 3: Cross multiply
    54,182.16x = 74,764.56 × 32,673
  4. Step 4: Simplify right side
    54,182.16x = 2,442,782,468.88
  5. Step 5: Solve for x
    x = 2,442,782,468.88/54,182.16
  6. Step 6: Final answer
    x = 45,084.63

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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.