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Finding the Fourth Proportional to 54,864.08, 75,711.08 and 30,990

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Solution

The fourth proportional to 54,864.08, 75,711.08 and 30,990 is: 42,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864.08 : 75,711.08 = 30,990 : x
  2. Step 2: Convert to fraction form
    54,864.08/75,711.08 = 30,990/x
  3. Step 3: Cross multiply
    54,864.08x = 75,711.08 × 30,990
  4. Step 4: Simplify right side
    54,864.08x = 2,346,286,369.20
  5. Step 5: Solve for x
    x = 2,346,286,369.20/54,864.08
  6. Step 6: Final answer
    x = 42,765.44

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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.