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Finding the Fourth Proportional to 69,471.16, 104,211.78 and 24,487

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Solution

The fourth proportional to 69,471.16, 104,211.78 and 24,487 is: 36,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,471.16 : 104,211.78 = 24,487 : x
  2. Step 2: Convert to fraction form
    69,471.16/104,211.78 = 24,487/x
  3. Step 3: Cross multiply
    69,471.16x = 104,211.78 × 24,487
  4. Step 4: Simplify right side
    69,471.16x = 2,551,833,856.86
  5. Step 5: Solve for x
    x = 2,551,833,856.86/69,471.16
  6. Step 6: Final answer
    x = 36,732.28

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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.