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Finding the Fourth Proportional to 85,076.12, 127,614.18 and 22,745

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Solution

The fourth proportional to 85,076.12, 127,614.18 and 22,745 is: 34,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,076.12 : 127,614.18 = 22,745 : x
  2. Step 2: Convert to fraction form
    85,076.12/127,614.18 = 22,745/x
  3. Step 3: Cross multiply
    85,076.12x = 127,614.18 × 22,745
  4. Step 4: Simplify right side
    85,076.12x = 2,902,584,524.10
  5. Step 5: Solve for x
    x = 2,902,584,524.10/85,076.12
  6. Step 6: Final answer
    x = 34,117.50

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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.