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Finding the Fourth Proportional to 84,312.50, 126,519.37 and 33,702.48

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Solution

The fourth proportional to 84,312.50, 126,519.37 and 33,702.48 is: 50,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312.50 : 126,519.37 = 33,702.48 : x
  2. Step 2: Convert to fraction form
    84,312.50/126,519.37 = 33,702.48/x
  3. Step 3: Cross multiply
    84,312.50x = 126,519.37 × 33,702.48
  4. Step 4: Simplify right side
    84,312.50x = 4,264,016,452.78
  5. Step 5: Solve for x
    x = 4,264,016,452.78/84,312.50
  6. Step 6: Final answer
    x = 50,573.96

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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.