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Finding the Fourth Proportional to 67,248.40, 100,829.40 and 27,821.20

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Solution

The fourth proportional to 67,248.40, 100,829.40 and 27,821.20 is: 41,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,248.40 : 100,829.40 = 27,821.20 : x
  2. Step 2: Convert to fraction form
    67,248.40/100,829.40 = 27,821.20/x
  3. Step 3: Cross multiply
    67,248.40x = 100,829.40 × 27,821.20
  4. Step 4: Simplify right side
    67,248.40x = 2,805,194,903.28
  5. Step 5: Solve for x
    x = 2,805,194,903.28/67,248.40
  6. Step 6: Final answer
    x = 41,713.93

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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.