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Finding the Fourth Proportional to 106,008.46, 159,020.46 and 39,448.57

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Solution

The fourth proportional to 106,008.46, 159,020.46 and 39,448.57 is: 59,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,008.46 : 159,020.46 = 39,448.57 : x
  2. Step 2: Convert to fraction form
    106,008.46/159,020.46 = 39,448.57/x
  3. Step 3: Cross multiply
    106,008.46x = 159,020.46 × 39,448.57
  4. Step 4: Simplify right side
    106,008.46x = 6,273,129,747.74
  5. Step 5: Solve for x
    x = 6,273,129,747.74/106,008.46
  6. Step 6: Final answer
    x = 59,175.75

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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.