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Finding the Fourth Proportional to 82,865.25, 124,297.88 and 27,461.25

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Solution

The fourth proportional to 82,865.25, 124,297.88 and 27,461.25 is: 41,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.25 : 124,297.88 = 27,461.25 : x
  2. Step 2: Convert to fraction form
    82,865.25/124,297.88 = 27,461.25/x
  3. Step 3: Cross multiply
    82,865.25x = 124,297.88 × 27,461.25
  4. Step 4: Simplify right side
    82,865.25x = 3,413,375,019.84
  5. Step 5: Solve for x
    x = 3,413,375,019.84/82,865.25
  6. Step 6: Final answer
    x = 41,191.88

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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.