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Finding the Fourth Proportional to 41,705, 57,552.90 and 22,842.80

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Solution

The fourth proportional to 41,705, 57,552.90 and 22,842.80 is: 31,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,705 : 57,552.90 = 22,842.80 : x
  2. Step 2: Convert to fraction form
    41,705/57,552.90 = 22,842.80/x
  3. Step 3: Cross multiply
    41,705x = 57,552.90 × 22,842.80
  4. Step 4: Simplify right side
    41,705x = 1,314,669,384.12
  5. Step 5: Solve for x
    x = 1,314,669,384.12/41,705
  6. Step 6: Final answer
    x = 31,523.06

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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.