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Finding the Fourth Proportional to 41,894.80, 57,815.80 and 22,775.66

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Solution

The fourth proportional to 41,894.80, 57,815.80 and 22,775.66 is: 31,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.80 : 57,815.80 = 22,775.66 : x
  2. Step 2: Convert to fraction form
    41,894.80/57,815.80 = 22,775.66/x
  3. Step 3: Cross multiply
    41,894.80x = 57,815.80 × 22,775.66
  4. Step 4: Simplify right side
    41,894.80x = 1,316,793,003.43
  5. Step 5: Solve for x
    x = 1,316,793,003.43/41,894.80
  6. Step 6: Final answer
    x = 31,430.94

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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.