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Finding the Fourth Proportional to 67,844.20, 101,823.90 and 30,461.80

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Solution

The fourth proportional to 67,844.20, 101,823.90 and 30,461.80 is: 45,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,844.20 : 101,823.90 = 30,461.80 : x
  2. Step 2: Convert to fraction form
    67,844.20/101,823.90 = 30,461.80/x
  3. Step 3: Cross multiply
    67,844.20x = 101,823.90 × 30,461.80
  4. Step 4: Simplify right side
    67,844.20x = 3,101,739,277.02
  5. Step 5: Solve for x
    x = 3,101,739,277.02/67,844.20
  6. Step 6: Final answer
    x = 45,718.56

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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.