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Finding the Fourth Proportional to 84,282.62, 126,349.65 and 34,404.62

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Solution

The fourth proportional to 84,282.62, 126,349.65 and 34,404.62 is: 51,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.62 : 126,349.65 = 34,404.62 : x
  2. Step 2: Convert to fraction form
    84,282.62/126,349.65 = 34,404.62/x
  3. Step 3: Cross multiply
    84,282.62x = 126,349.65 × 34,404.62
  4. Step 4: Simplify right side
    84,282.62x = 4,347,011,063.63
  5. Step 5: Solve for x
    x = 4,347,011,063.63/84,282.62
  6. Step 6: Final answer
    x = 51,576.60

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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.