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Finding the Fourth Proportional to 67,500.64, 101,287.52 and 28,084.96

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Solution

The fourth proportional to 67,500.64, 101,287.52 and 28,084.96 is: 42,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500.64 : 101,287.52 = 28,084.96 : x
  2. Step 2: Convert to fraction form
    67,500.64/101,287.52 = 28,084.96/x
  3. Step 3: Cross multiply
    67,500.64x = 101,287.52 × 28,084.96
  4. Step 4: Simplify right side
    67,500.64x = 2,844,655,947.70
  5. Step 5: Solve for x
    x = 2,844,655,947.70/67,500.64
  6. Step 6: Final answer
    x = 42,142.65

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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.