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Finding the Fourth Proportional to 41,728.40, 57,585 and 22,865.42

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Solution

The fourth proportional to 41,728.40, 57,585 and 22,865.42 is: 31,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728.40 : 57,585 = 22,865.42 : x
  2. Step 2: Convert to fraction form
    41,728.40/57,585 = 22,865.42/x
  3. Step 3: Cross multiply
    41,728.40x = 57,585 × 22,865.42
  4. Step 4: Simplify right side
    41,728.40x = 1,316,705,210.70
  5. Step 5: Solve for x
    x = 1,316,705,210.70/41,728.40
  6. Step 6: Final answer
    x = 31,554.17

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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.