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Finding the Fourth Proportional to 106,441.28, 159,689.28 and 39,882.32

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Solution

The fourth proportional to 106,441.28, 159,689.28 and 39,882.32 is: 59,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,441.28 : 159,689.28 = 39,882.32 : x
  2. Step 2: Convert to fraction form
    106,441.28/159,689.28 = 39,882.32/x
  3. Step 3: Cross multiply
    106,441.28x = 159,689.28 × 39,882.32
  4. Step 4: Simplify right side
    106,441.28x = 6,368,778,965.53
  5. Step 5: Solve for x
    x = 6,368,778,965.53/106,441.28
  6. Step 6: Final answer
    x = 59,833.73

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1.5x scale

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.