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Finding the Fourth Proportional to 67,770.52, 101,690.46 and 32,272

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Solution

The fourth proportional to 67,770.52, 101,690.46 and 32,272 is: 48,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,770.52 : 101,690.46 = 32,272 : x
  2. Step 2: Convert to fraction form
    67,770.52/101,690.46 = 32,272/x
  3. Step 3: Cross multiply
    67,770.52x = 101,690.46 × 32,272
  4. Step 4: Simplify right side
    67,770.52x = 3,281,754,525.12
  5. Step 5: Solve for x
    x = 3,281,754,525.12/67,770.52
  6. Step 6: Final answer
    x = 48,424.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.