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Finding the Fourth Proportional to 41,363, 62,065 and 16,402.50

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Solution

The fourth proportional to 41,363, 62,065 and 16,402.50 is: 24,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,363 : 62,065 = 16,402.50 : x
  2. Step 2: Convert to fraction form
    41,363/62,065 = 16,402.50/x
  3. Step 3: Cross multiply
    41,363x = 62,065 × 16,402.50
  4. Step 4: Simplify right side
    41,363x = 1,018,021,162.50
  5. Step 5: Solve for x
    x = 1,018,021,162.50/41,363
  6. Step 6: Final answer
    x = 24,611.88

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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.