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Finding the Fourth Proportional to 41,527, 62,291.04 and 13,825

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Solution

The fourth proportional to 41,527, 62,291.04 and 13,825 is: 20,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527 : 62,291.04 = 13,825 : x
  2. Step 2: Convert to fraction form
    41,527/62,291.04 = 13,825/x
  3. Step 3: Cross multiply
    41,527x = 62,291.04 × 13,825
  4. Step 4: Simplify right side
    41,527x = 861,173,628
  5. Step 5: Solve for x
    x = 861,173,628/41,527
  6. Step 6: Final answer
    x = 20,737.68

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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.