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Finding the Fourth Proportional to 27,737.46, 41,607.90 and 10,219.50

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Solution

The fourth proportional to 27,737.46, 41,607.90 and 10,219.50 is: 15,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.46 : 41,607.90 = 10,219.50 : x
  2. Step 2: Convert to fraction form
    27,737.46/41,607.90 = 10,219.50/x
  3. Step 3: Cross multiply
    27,737.46x = 41,607.90 × 10,219.50
  4. Step 4: Simplify right side
    27,737.46x = 425,211,934.05
  5. Step 5: Solve for x
    x = 425,211,934.05/27,737.46
  6. Step 6: Final answer
    x = 15,329.88

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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.