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Finding the Fourth Proportional to 54,253.92, 74,875.12 and 30,380.16

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Solution

The fourth proportional to 54,253.92, 74,875.12 and 30,380.16 is: 41,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,253.92 : 74,875.12 = 30,380.16 : x
  2. Step 2: Convert to fraction form
    54,253.92/74,875.12 = 30,380.16/x
  3. Step 3: Cross multiply
    54,253.92x = 74,875.12 × 30,380.16
  4. Step 4: Simplify right side
    54,253.92x = 2,274,718,125.62
  5. Step 5: Solve for x
    x = 2,274,718,125.62/54,253.92
  6. Step 6: Final answer
    x = 41,927.26

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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.