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Finding the Fourth Proportional to 41,642.19, 57,470.18 and 22,782.15

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Solution

The fourth proportional to 41,642.19, 57,470.18 and 22,782.15 is: 31,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.19 : 57,470.18 = 22,782.15 : x
  2. Step 2: Convert to fraction form
    41,642.19/57,470.18 = 22,782.15/x
  3. Step 3: Cross multiply
    41,642.19x = 57,470.18 × 22,782.15
  4. Step 4: Simplify right side
    41,642.19x = 1,309,294,261.29
  5. Step 5: Solve for x
    x = 1,309,294,261.29/41,642.19
  6. Step 6: Final answer
    x = 31,441.53

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