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Finding the Fourth Proportional to 41,561, 57,354.50 and 22,698.13

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Solution

The fourth proportional to 41,561, 57,354.50 and 22,698.13 is: 31,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,561 : 57,354.50 = 22,698.13 : x
  2. Step 2: Convert to fraction form
    41,561/57,354.50 = 22,698.13/x
  3. Step 3: Cross multiply
    41,561x = 57,354.50 × 22,698.13
  4. Step 4: Simplify right side
    41,561x = 1,301,839,897.09
  5. Step 5: Solve for x
    x = 1,301,839,897.09/41,561
  6. Step 6: Final answer
    x = 31,323.59

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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.