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Finding the Fourth Proportional to 41,123.68, 61,695.22 and 13,045

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Solution

The fourth proportional to 41,123.68, 61,695.22 and 13,045 is: 19,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,123.68 : 61,695.22 = 13,045 : x
  2. Step 2: Convert to fraction form
    41,123.68/61,695.22 = 13,045/x
  3. Step 3: Cross multiply
    41,123.68x = 61,695.22 × 13,045
  4. Step 4: Simplify right side
    41,123.68x = 804,814,144.90
  5. Step 5: Solve for x
    x = 804,814,144.90/41,123.68
  6. Step 6: Final answer
    x = 19,570.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.