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Finding the Fourth Proportional to 84,211.88, 126,300.54 and 31,620.20

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Solution

The fourth proportional to 84,211.88, 126,300.54 and 31,620.20 is: 47,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,211.88 : 126,300.54 = 31,620.20 : x
  2. Step 2: Convert to fraction form
    84,211.88/126,300.54 = 31,620.20/x
  3. Step 3: Cross multiply
    84,211.88x = 126,300.54 × 31,620.20
  4. Step 4: Simplify right side
    84,211.88x = 3,993,648,334.91
  5. Step 5: Solve for x
    x = 3,993,648,334.91/84,211.88
  6. Step 6: Final answer
    x = 47,423.81

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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.