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Finding the Fourth Proportional to 41,740.88, 57,605.04 and 22,878

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Solution

The fourth proportional to 41,740.88, 57,605.04 and 22,878 is: 31,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,740.88 : 57,605.04 = 22,878 : x
  2. Step 2: Convert to fraction form
    41,740.88/57,605.04 = 22,878/x
  3. Step 3: Cross multiply
    41,740.88x = 57,605.04 × 22,878
  4. Step 4: Simplify right side
    41,740.88x = 1,317,888,105.12
  5. Step 5: Solve for x
    x = 1,317,888,105.12/41,740.88
  6. Step 6: Final answer
    x = 31,573.08

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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.