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Finding the Fourth Proportional to 45,888.38, 68,786.10 and 31,098.80

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Solution

The fourth proportional to 45,888.38, 68,786.10 and 31,098.80 is: 46,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,888.38 : 68,786.10 = 31,098.80 : x
  2. Step 2: Convert to fraction form
    45,888.38/68,786.10 = 31,098.80/x
  3. Step 3: Cross multiply
    45,888.38x = 68,786.10 × 31,098.80
  4. Step 4: Simplify right side
    45,888.38x = 2,139,165,166.68
  5. Step 5: Solve for x
    x = 2,139,165,166.68/45,888.38
  6. Step 6: Final answer
    x = 46,616.71

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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.