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Finding the Fourth Proportional to 84,100.18, 126,149.91 and 31,534.42

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Solution

The fourth proportional to 84,100.18, 126,149.91 and 31,534.42 is: 47,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,100.18 : 126,149.91 = 31,534.42 : x
  2. Step 2: Convert to fraction form
    84,100.18/126,149.91 = 31,534.42/x
  3. Step 3: Cross multiply
    84,100.18x = 126,149.91 × 31,534.42
  4. Step 4: Simplify right side
    84,100.18x = 3,978,064,244.90
  5. Step 5: Solve for x
    x = 3,978,064,244.90/84,100.18
  6. Step 6: Final answer
    x = 47,301.50

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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.