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Finding the Fourth Proportional to 71,856.01, 107,797.00 and 29,713.20

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Solution

The fourth proportional to 71,856.01, 107,797.00 and 29,713.20 is: 44,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.01 : 107,797.00 = 29,713.20 : x
  2. Step 2: Convert to fraction form
    71,856.01/107,797.00 = 29,713.20/x
  3. Step 3: Cross multiply
    71,856.01x = 107,797.00 × 29,713.20
  4. Step 4: Simplify right side
    71,856.01x = 3,202,994,390.70
  5. Step 5: Solve for x
    x = 3,202,994,390.70/71,856.01
  6. Step 6: Final answer
    x = 44,575.18

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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.