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Finding the Fourth Proportional to 103,843.92, 155,769.18 and 32,767.23

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Solution

The fourth proportional to 103,843.92, 155,769.18 and 32,767.23 is: 49,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,843.92 : 155,769.18 = 32,767.23 : x
  2. Step 2: Convert to fraction form
    103,843.92/155,769.18 = 32,767.23/x
  3. Step 3: Cross multiply
    103,843.92x = 155,769.18 × 32,767.23
  4. Step 4: Simplify right side
    103,843.92x = 5,104,125,009.23
  5. Step 5: Solve for x
    x = 5,104,125,009.23/103,843.92
  6. Step 6: Final answer
    x = 49,151.89

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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.