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Finding the Fourth Proportional to 71,366.54, 107,049.80 and 29,784.38

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Solution

The fourth proportional to 71,366.54, 107,049.80 and 29,784.38 is: 44,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366.54 : 107,049.80 = 29,784.38 : x
  2. Step 2: Convert to fraction form
    71,366.54/107,049.80 = 29,784.38/x
  3. Step 3: Cross multiply
    71,366.54x = 107,049.80 × 29,784.38
  4. Step 4: Simplify right side
    71,366.54x = 3,188,411,461.34
  5. Step 5: Solve for x
    x = 3,188,411,461.34/71,366.54
  6. Step 6: Final answer
    x = 44,676.56

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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.