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Finding the Fourth Proportional to 54,665.94, 75,439.20 and 30,793.02

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Solution

The fourth proportional to 54,665.94, 75,439.20 and 30,793.02 is: 42,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,665.94 : 75,439.20 = 30,793.02 : x
  2. Step 2: Convert to fraction form
    54,665.94/75,439.20 = 30,793.02/x
  3. Step 3: Cross multiply
    54,665.94x = 75,439.20 × 30,793.02
  4. Step 4: Simplify right side
    54,665.94x = 2,323,000,794.38
  5. Step 5: Solve for x
    x = 2,323,000,794.38/54,665.94
  6. Step 6: Final answer
    x = 42,494.48

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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.