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Finding the Fourth Proportional to 41,805.52, 57,695.52 and 23,902

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Solution

The fourth proportional to 41,805.52, 57,695.52 and 23,902 is: 32,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805.52 : 57,695.52 = 23,902 : x
  2. Step 2: Convert to fraction form
    41,805.52/57,695.52 = 23,902/x
  3. Step 3: Cross multiply
    41,805.52x = 57,695.52 × 23,902
  4. Step 4: Simplify right side
    41,805.52x = 1,379,038,319.04
  5. Step 5: Solve for x
    x = 1,379,038,319.04/41,805.52
  6. Step 6: Final answer
    x = 32,986.99

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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.