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Finding the Fourth Proportional to 85,234.80, 127,909.80 and 47,794.80

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Solution

The fourth proportional to 85,234.80, 127,909.80 and 47,794.80 is: 71,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234.80 : 127,909.80 = 47,794.80 : x
  2. Step 2: Convert to fraction form
    85,234.80/127,909.80 = 47,794.80/x
  3. Step 3: Cross multiply
    85,234.80x = 127,909.80 × 47,794.80
  4. Step 4: Simplify right side
    85,234.80x = 6,113,423,309.04
  5. Step 5: Solve for x
    x = 6,113,423,309.04/85,234.80
  6. Step 6: Final answer
    x = 71,724.50

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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.