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Finding the Fourth Proportional to 84,152.30, 126,131.49 and 34,177.50

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Solution

The fourth proportional to 84,152.30, 126,131.49 and 34,177.50 is: 51,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,152.30 : 126,131.49 = 34,177.50 : x
  2. Step 2: Convert to fraction form
    84,152.30/126,131.49 = 34,177.50/x
  3. Step 3: Cross multiply
    84,152.30x = 126,131.49 × 34,177.50
  4. Step 4: Simplify right side
    84,152.30x = 4,310,858,999.48
  5. Step 5: Solve for x
    x = 4,310,858,999.48/84,152.30
  6. Step 6: Final answer
    x = 51,226.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.