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Finding the Fourth Proportional to 67,283.28, 100,864.62 and 27,815.16

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Solution

The fourth proportional to 67,283.28, 100,864.62 and 27,815.16 is: 41,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,283.28 : 100,864.62 = 27,815.16 : x
  2. Step 2: Convert to fraction form
    67,283.28/100,864.62 = 27,815.16/x
  3. Step 3: Cross multiply
    67,283.28x = 100,864.62 × 27,815.16
  4. Step 4: Simplify right side
    67,283.28x = 2,805,565,543.64
  5. Step 5: Solve for x
    x = 2,805,565,543.64/67,283.28
  6. Step 6: Final answer
    x = 41,697.81

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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.