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Finding the Fourth Proportional to 104,691.88, 144,476.22 and 56,947.24

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Solution

The fourth proportional to 104,691.88, 144,476.22 and 56,947.24 is: 78,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691.88 : 144,476.22 = 56,947.24 : x
  2. Step 2: Convert to fraction form
    104,691.88/144,476.22 = 56,947.24/x
  3. Step 3: Cross multiply
    104,691.88x = 144,476.22 × 56,947.24
  4. Step 4: Simplify right side
    104,691.88x = 8,227,521,974.63
  5. Step 5: Solve for x
    x = 8,227,521,974.63/104,691.88
  6. Step 6: Final answer
    x = 78,587.97

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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.