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Finding the Fourth Proportional to 33,775.65, 50,668.92 and 10,402.08

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Solution

The fourth proportional to 33,775.65, 50,668.92 and 10,402.08 is: 15,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,775.65 : 50,668.92 = 10,402.08 : x
  2. Step 2: Convert to fraction form
    33,775.65/50,668.92 = 10,402.08/x
  3. Step 3: Cross multiply
    33,775.65x = 50,668.92 × 10,402.08
  4. Step 4: Simplify right side
    33,775.65x = 527,062,159.35
  5. Step 5: Solve for x
    x = 527,062,159.35/33,775.65
  6. Step 6: Final answer
    x = 15,604.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.