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Finding the Fourth Proportional to 41,510.61, 57,284.82 and 22,648.14

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Solution

The fourth proportional to 41,510.61, 57,284.82 and 22,648.14 is: 31,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,510.61 : 57,284.82 = 22,648.14 : x
  2. Step 2: Convert to fraction form
    41,510.61/57,284.82 = 22,648.14/x
  3. Step 3: Cross multiply
    41,510.61x = 57,284.82 × 22,648.14
  4. Step 4: Simplify right side
    41,510.61x = 1,297,394,623.23
  5. Step 5: Solve for x
    x = 1,297,394,623.23/41,510.61
  6. Step 6: Final answer
    x = 31,254.53

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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.