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Finding the Fourth Proportional to 41,204.20, 61,802.70 and 13,502.20

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Solution

The fourth proportional to 41,204.20, 61,802.70 and 13,502.20 is: 20,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.20 : 61,802.70 = 13,502.20 : x
  2. Step 2: Convert to fraction form
    41,204.20/61,802.70 = 13,502.20/x
  3. Step 3: Cross multiply
    41,204.20x = 61,802.70 × 13,502.20
  4. Step 4: Simplify right side
    41,204.20x = 834,472,415.94
  5. Step 5: Solve for x
    x = 834,472,415.94/41,204.20
  6. Step 6: Final answer
    x = 20,252.12

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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.