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Finding the Fourth Proportional to 106,696.12, 160,044.06 and 32,824.12

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Solution

The fourth proportional to 106,696.12, 160,044.06 and 32,824.12 is: 49,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,696.12 : 160,044.06 = 32,824.12 : x
  2. Step 2: Convert to fraction form
    106,696.12/160,044.06 = 32,824.12/x
  3. Step 3: Cross multiply
    106,696.12x = 160,044.06 × 32,824.12
  4. Step 4: Simplify right side
    106,696.12x = 5,253,305,430.73
  5. Step 5: Solve for x
    x = 5,253,305,430.73/106,696.12
  6. Step 6: Final answer
    x = 49,236.14

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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.