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Finding the Fourth Proportional to 67,659.49, 101,449.14 and 32,130.46

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Solution

The fourth proportional to 67,659.49, 101,449.14 and 32,130.46 is: 48,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,659.49 : 101,449.14 = 32,130.46 : x
  2. Step 2: Convert to fraction form
    67,659.49/101,449.14 = 32,130.46/x
  3. Step 3: Cross multiply
    67,659.49x = 101,449.14 × 32,130.46
  4. Step 4: Simplify right side
    67,659.49x = 3,259,607,534.80
  5. Step 5: Solve for x
    x = 3,259,607,534.80/67,659.49
  6. Step 6: Final answer
    x = 48,176.65

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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.