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Finding the Fourth Proportional to 33,049.61, 49,567.12 and 9,677.87

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Solution

The fourth proportional to 33,049.61, 49,567.12 and 9,677.87 is: 14,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.61 : 49,567.12 = 9,677.87 : x
  2. Step 2: Convert to fraction form
    33,049.61/49,567.12 = 9,677.87/x
  3. Step 3: Cross multiply
    33,049.61x = 49,567.12 × 9,677.87
  4. Step 4: Simplify right side
    33,049.61x = 479,703,871.60
  5. Step 5: Solve for x
    x = 479,703,871.60/33,049.61
  6. Step 6: Final answer
    x = 14,514.66

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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.