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Finding the Fourth Proportional to 65,447.19, 98,079.95 and 29,821.44

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Solution

The fourth proportional to 65,447.19, 98,079.95 and 29,821.44 is: 44,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,447.19 : 98,079.95 = 29,821.44 : x
  2. Step 2: Convert to fraction form
    65,447.19/98,079.95 = 29,821.44/x
  3. Step 3: Cross multiply
    65,447.19x = 98,079.95 × 29,821.44
  4. Step 4: Simplify right side
    65,447.19x = 2,924,885,786.48
  5. Step 5: Solve for x
    x = 2,924,885,786.48/65,447.19
  6. Step 6: Final answer
    x = 44,690.78

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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.