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Finding the Fourth Proportional to 41,841.65, 57,742.80 and 22,978.77

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Solution

The fourth proportional to 41,841.65, 57,742.80 and 22,978.77 is: 31,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,841.65 : 57,742.80 = 22,978.77 : x
  2. Step 2: Convert to fraction form
    41,841.65/57,742.80 = 22,978.77/x
  3. Step 3: Cross multiply
    41,841.65x = 57,742.80 × 22,978.77
  4. Step 4: Simplify right side
    41,841.65x = 1,326,858,750.88
  5. Step 5: Solve for x
    x = 1,326,858,750.88/41,841.65
  6. Step 6: Final answer
    x = 31,711.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.