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Finding the Fourth Proportional to 29,122.68, 40,214.70 and 22,824.12

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Solution

The fourth proportional to 29,122.68, 40,214.70 and 22,824.12 is: 31,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122.68 : 40,214.70 = 22,824.12 : x
  2. Step 2: Convert to fraction form
    29,122.68/40,214.70 = 22,824.12/x
  3. Step 3: Cross multiply
    29,122.68x = 40,214.70 × 22,824.12
  4. Step 4: Simplify right side
    29,122.68x = 917,865,138.56
  5. Step 5: Solve for x
    x = 917,865,138.56/29,122.68
  6. Step 6: Final answer
    x = 31,517.19

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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.