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Finding the Fourth Proportional to 71,702.63, 98,945.78 and 41,488.44

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Solution

The fourth proportional to 71,702.63, 98,945.78 and 41,488.44 is: 57,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702.63 : 98,945.78 = 41,488.44 : x
  2. Step 2: Convert to fraction form
    71,702.63/98,945.78 = 41,488.44/x
  3. Step 3: Cross multiply
    71,702.63x = 98,945.78 × 41,488.44
  4. Step 4: Simplify right side
    71,702.63x = 4,105,105,849.34
  5. Step 5: Solve for x
    x = 4,105,105,849.34/71,702.63
  6. Step 6: Final answer
    x = 57,251.82

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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.