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Finding the Fourth Proportional to 106,695.12, 160,042.56 and 32,823.12

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Solution

The fourth proportional to 106,695.12, 160,042.56 and 32,823.12 is: 49,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,695.12 : 160,042.56 = 32,823.12 : x
  2. Step 2: Convert to fraction form
    106,695.12/160,042.56 = 32,823.12/x
  3. Step 3: Cross multiply
    106,695.12x = 160,042.56 × 32,823.12
  4. Step 4: Simplify right side
    106,695.12x = 5,253,096,151.99
  5. Step 5: Solve for x
    x = 5,253,096,151.99/106,695.12
  6. Step 6: Final answer
    x = 49,234.64

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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.