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Finding the Fourth Proportional to 41,574, 62,361.54 and 13,872

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Solution

The fourth proportional to 41,574, 62,361.54 and 13,872 is: 20,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574 : 62,361.54 = 13,872 : x
  2. Step 2: Convert to fraction form
    41,574/62,361.54 = 13,872/x
  3. Step 3: Cross multiply
    41,574x = 62,361.54 × 13,872
  4. Step 4: Simplify right side
    41,574x = 865,079,282.88
  5. Step 5: Solve for x
    x = 865,079,282.88/41,574
  6. Step 6: Final answer
    x = 20,808.18

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Why These Related Problems?

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