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Finding the Fourth Proportional to 85,081.12, 127,621.68 and 22,750

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Solution

The fourth proportional to 85,081.12, 127,621.68 and 22,750 is: 34,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,081.12 : 127,621.68 = 22,750 : x
  2. Step 2: Convert to fraction form
    85,081.12/127,621.68 = 22,750/x
  3. Step 3: Cross multiply
    85,081.12x = 127,621.68 × 22,750
  4. Step 4: Simplify right side
    85,081.12x = 2,903,393,220
  5. Step 5: Solve for x
    x = 2,903,393,220/85,081.12
  6. Step 6: Final answer
    x = 34,125

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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.