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Finding the Fourth Proportional to 106,906.80, 160,315.08 and 32,037.60

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Solution

The fourth proportional to 106,906.80, 160,315.08 and 32,037.60 is: 48,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.80 : 160,315.08 = 32,037.60 : x
  2. Step 2: Convert to fraction form
    106,906.80/160,315.08 = 32,037.60/x
  3. Step 3: Cross multiply
    106,906.80x = 160,315.08 × 32,037.60
  4. Step 4: Simplify right side
    106,906.80x = 5,136,110,407.01
  5. Step 5: Solve for x
    x = 5,136,110,407.01/106,906.80
  6. Step 6: Final answer
    x = 48,042.88

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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.