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Finding the Fourth Proportional to 54,657.32, 75,426.34 and 30,784.28

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Solution

The fourth proportional to 54,657.32, 75,426.34 and 30,784.28 is: 42,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.32 : 75,426.34 = 30,784.28 : x
  2. Step 2: Convert to fraction form
    54,657.32/75,426.34 = 30,784.28/x
  3. Step 3: Cross multiply
    54,657.32x = 75,426.34 × 30,784.28
  4. Step 4: Simplify right side
    54,657.32x = 2,321,945,569.94
  5. Step 5: Solve for x
    x = 2,321,945,569.94/54,657.32
  6. Step 6: Final answer
    x = 42,481.88

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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.