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Finding the Fourth Proportional to 106,900.84, 160,377.18 and 32,020.84

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Solution

The fourth proportional to 106,900.84, 160,377.18 and 32,020.84 is: 48,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900.84 : 160,377.18 = 32,020.84 : x
  2. Step 2: Convert to fraction form
    106,900.84/160,377.18 = 32,020.84/x
  3. Step 3: Cross multiply
    106,900.84x = 160,377.18 × 32,020.84
  4. Step 4: Simplify right side
    106,900.84x = 5,135,412,020.43
  5. Step 5: Solve for x
    x = 5,135,412,020.43/106,900.84
  6. Step 6: Final answer
    x = 48,039.02

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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.