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Finding the Fourth Proportional to 84,784.80, 127,234.80 and 47,344.80

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Solution

The fourth proportional to 84,784.80, 127,234.80 and 47,344.80 is: 71,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,784.80 : 127,234.80 = 47,344.80 : x
  2. Step 2: Convert to fraction form
    84,784.80/127,234.80 = 47,344.80/x
  3. Step 3: Cross multiply
    84,784.80x = 127,234.80 × 47,344.80
  4. Step 4: Simplify right side
    84,784.80x = 6,023,906,159.04
  5. Step 5: Solve for x
    x = 6,023,906,159.04/84,784.80
  6. Step 6: Final answer
    x = 71,049.36

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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.