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Finding the Fourth Proportional to 84,404.40, 126,527.40 and 31,849.20

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Solution

The fourth proportional to 84,404.40, 126,527.40 and 31,849.20 is: 47,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,404.40 : 126,527.40 = 31,849.20 : x
  2. Step 2: Convert to fraction form
    84,404.40/126,527.40 = 31,849.20/x
  3. Step 3: Cross multiply
    84,404.40x = 126,527.40 × 31,849.20
  4. Step 4: Simplify right side
    84,404.40x = 4,029,796,468.08
  5. Step 5: Solve for x
    x = 4,029,796,468.08/84,404.40
  6. Step 6: Final answer
    x = 47,743.91

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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.