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Finding the Fourth Proportional to 85,311.52, 127,968.10 and 32,708.50

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Solution

The fourth proportional to 85,311.52, 127,968.10 and 32,708.50 is: 49,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311.52 : 127,968.10 = 32,708.50 : x
  2. Step 2: Convert to fraction form
    85,311.52/127,968.10 = 32,708.50/x
  3. Step 3: Cross multiply
    85,311.52x = 127,968.10 × 32,708.50
  4. Step 4: Simplify right side
    85,311.52x = 4,185,644,598.85
  5. Step 5: Solve for x
    x = 4,185,644,598.85/85,311.52
  6. Step 6: Final answer
    x = 49,063.06

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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.