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Finding the Fourth Proportional to 84,462.40, 126,702.44 and 34,534.54

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Solution

The fourth proportional to 84,462.40, 126,702.44 and 34,534.54 is: 51,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,462.40 : 126,702.44 = 34,534.54 : x
  2. Step 2: Convert to fraction form
    84,462.40/126,702.44 = 34,534.54/x
  3. Step 3: Cross multiply
    84,462.40x = 126,702.44 × 34,534.54
  4. Step 4: Simplify right side
    84,462.40x = 4,375,610,482.28
  5. Step 5: Solve for x
    x = 4,375,610,482.28/84,462.40
  6. Step 6: Final answer
    x = 51,805.42

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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.