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Finding the Fourth Proportional to 54,258.32, 74,882.90 and 30,380.38

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Solution

The fourth proportional to 54,258.32, 74,882.90 and 30,380.38 is: 41,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,258.32 : 74,882.90 = 30,380.38 : x
  2. Step 2: Convert to fraction form
    54,258.32/74,882.90 = 30,380.38/x
  3. Step 3: Cross multiply
    54,258.32x = 74,882.90 × 30,380.38
  4. Step 4: Simplify right side
    54,258.32x = 2,274,970,957.50
  5. Step 5: Solve for x
    x = 2,274,970,957.50/54,258.32
  6. Step 6: Final answer
    x = 41,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.