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Finding the Fourth Proportional to 54,115.85, 74,702.87 and 32,901.89

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Solution

The fourth proportional to 54,115.85, 74,702.87 and 32,901.89 is: 45,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,115.85 : 74,702.87 = 32,901.89 : x
  2. Step 2: Convert to fraction form
    54,115.85/74,702.87 = 32,901.89/x
  3. Step 3: Cross multiply
    54,115.85x = 74,702.87 × 32,901.89
  4. Step 4: Simplify right side
    54,115.85x = 2,457,865,446.91
  5. Step 5: Solve for x
    x = 2,457,865,446.91/54,115.85
  6. Step 6: Final answer
    x = 45,418.59

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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.