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Finding the Fourth Proportional to 83,459.97, 125,197.72 and 27,300.44

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Solution

The fourth proportional to 83,459.97, 125,197.72 and 27,300.44 is: 40,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459.97 : 125,197.72 = 27,300.44 : x
  2. Step 2: Convert to fraction form
    83,459.97/125,197.72 = 27,300.44/x
  3. Step 3: Cross multiply
    83,459.97x = 125,197.72 × 27,300.44
  4. Step 4: Simplify right side
    83,459.97x = 3,417,953,087.74
  5. Step 5: Solve for x
    x = 3,417,953,087.74/83,459.97
  6. Step 6: Final answer
    x = 40,953.20

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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.