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Finding the Fourth Proportional to 33,151.64, 49,731.08 and 9,778.08

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Solution

The fourth proportional to 33,151.64, 49,731.08 and 9,778.08 is: 14,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.64 : 49,731.08 = 9,778.08 : x
  2. Step 2: Convert to fraction form
    33,151.64/49,731.08 = 9,778.08/x
  3. Step 3: Cross multiply
    33,151.64x = 49,731.08 × 9,778.08
  4. Step 4: Simplify right side
    33,151.64x = 486,274,478.73
  5. Step 5: Solve for x
    x = 486,274,478.73/33,151.64
  6. Step 6: Final answer
    x = 14,668.19

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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.