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Finding the Fourth Proportional to 78,967.88, 118,498.48 and 29,082.96

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Solution

The fourth proportional to 78,967.88, 118,498.48 and 29,082.96 is: 43,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.88 : 118,498.48 = 29,082.96 : x
  2. Step 2: Convert to fraction form
    78,967.88/118,498.48 = 29,082.96/x
  3. Step 3: Cross multiply
    78,967.88x = 118,498.48 × 29,082.96
  4. Step 4: Simplify right side
    78,967.88x = 3,446,286,553.90
  5. Step 5: Solve for x
    x = 3,446,286,553.90/78,967.88
  6. Step 6: Final answer
    x = 43,641.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.