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Finding the Fourth Proportional to 29,869.52, 41,219.03 and 16,440.78

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Solution

The fourth proportional to 29,869.52, 41,219.03 and 16,440.78 is: 22,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,869.52 : 41,219.03 = 16,440.78 : x
  2. Step 2: Convert to fraction form
    29,869.52/41,219.03 = 16,440.78/x
  3. Step 3: Cross multiply
    29,869.52x = 41,219.03 × 16,440.78
  4. Step 4: Simplify right side
    29,869.52x = 677,673,045.15
  5. Step 5: Solve for x
    x = 677,673,045.15/29,869.52
  6. Step 6: Final answer
    x = 22,687.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.