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Finding the Fourth Proportional to 107,841.60, 161,767.20 and 36,763.20

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Solution

The fourth proportional to 107,841.60, 161,767.20 and 36,763.20 is: 55,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,841.60 : 161,767.20 = 36,763.20 : x
  2. Step 2: Convert to fraction form
    107,841.60/161,767.20 = 36,763.20/x
  3. Step 3: Cross multiply
    107,841.60x = 161,767.20 × 36,763.20
  4. Step 4: Simplify right side
    107,841.60x = 5,947,079,927.04
  5. Step 5: Solve for x
    x = 5,947,079,927.04/107,841.60
  6. Step 6: Final answer
    x = 55,146.44

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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.