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Finding the Fourth Proportional to 41,527, 62,252.16 and 16,561

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Solution

The fourth proportional to 41,527, 62,252.16 and 16,561 is: 24,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527 : 62,252.16 = 16,561 : x
  2. Step 2: Convert to fraction form
    41,527/62,252.16 = 16,561/x
  3. Step 3: Cross multiply
    41,527x = 62,252.16 × 16,561
  4. Step 4: Simplify right side
    41,527x = 1,030,958,021.76
  5. Step 5: Solve for x
    x = 1,030,958,021.76/41,527
  6. Step 6: Final answer
    x = 24,826.21

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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.