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Finding the Fourth Proportional to 29,202.25, 40,299.12 and 15,954.25

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Solution

The fourth proportional to 29,202.25, 40,299.12 and 15,954.25 is: 22,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202.25 : 40,299.12 = 15,954.25 : x
  2. Step 2: Convert to fraction form
    29,202.25/40,299.12 = 15,954.25/x
  3. Step 3: Cross multiply
    29,202.25x = 40,299.12 × 15,954.25
  4. Step 4: Simplify right side
    29,202.25x = 642,942,235.26
  5. Step 5: Solve for x
    x = 642,942,235.26/29,202.25
  6. Step 6: Final answer
    x = 22,016.87

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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.