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Finding the Fourth Proportional to 65,716.20, 98,639.10 and 32,473.80

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Solution

The fourth proportional to 65,716.20, 98,639.10 and 32,473.80 is: 48,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.20 : 98,639.10 = 32,473.80 : x
  2. Step 2: Convert to fraction form
    65,716.20/98,639.10 = 32,473.80/x
  3. Step 3: Cross multiply
    65,716.20x = 98,639.10 × 32,473.80
  4. Step 4: Simplify right side
    65,716.20x = 3,203,186,405.58
  5. Step 5: Solve for x
    x = 3,203,186,405.58/65,716.20
  6. Step 6: Final answer
    x = 48,742.72

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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.