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Finding the Fourth Proportional to 54,877.20, 75,742.32 and 31,004.88

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Solution

The fourth proportional to 54,877.20, 75,742.32 and 31,004.88 is: 42,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.20 : 75,742.32 = 31,004.88 : x
  2. Step 2: Convert to fraction form
    54,877.20/75,742.32 = 31,004.88/x
  3. Step 3: Cross multiply
    54,877.20x = 75,742.32 × 31,004.88
  4. Step 4: Simplify right side
    54,877.20x = 2,348,381,542.52
  5. Step 5: Solve for x
    x = 2,348,381,542.52/54,877.20
  6. Step 6: Final answer
    x = 42,793.39

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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.