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Finding the Fourth Proportional to 71,797.16, 107,695.76 and 32,308.14

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Solution

The fourth proportional to 71,797.16, 107,695.76 and 32,308.14 is: 48,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,797.16 : 107,695.76 = 32,308.14 : x
  2. Step 2: Convert to fraction form
    71,797.16/107,695.76 = 32,308.14/x
  3. Step 3: Cross multiply
    71,797.16x = 107,695.76 × 32,308.14
  4. Step 4: Simplify right side
    71,797.16x = 3,479,449,691.49
  5. Step 5: Solve for x
    x = 3,479,449,691.49/71,797.16
  6. Step 6: Final answer
    x = 48,462.22

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1.5x scale

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.