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Finding the Fourth Proportional to 85,334.88, 127,989.36 and 32,769.12

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Solution

The fourth proportional to 85,334.88, 127,989.36 and 32,769.12 is: 49,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,334.88 : 127,989.36 = 32,769.12 : x
  2. Step 2: Convert to fraction form
    85,334.88/127,989.36 = 32,769.12/x
  3. Step 3: Cross multiply
    85,334.88x = 127,989.36 × 32,769.12
  4. Step 4: Simplify right side
    85,334.88x = 4,194,098,696.56
  5. Step 5: Solve for x
    x = 4,194,098,696.56/85,334.88
  6. Step 6: Final answer
    x = 49,148.70

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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.