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Finding the Fourth Proportional to 103,866.14, 155,820.17 and 32,799.88

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Solution

The fourth proportional to 103,866.14, 155,820.17 and 32,799.88 is: 49,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.14 : 155,820.17 = 32,799.88 : x
  2. Step 2: Convert to fraction form
    103,866.14/155,820.17 = 32,799.88/x
  3. Step 3: Cross multiply
    103,866.14x = 155,820.17 × 32,799.88
  4. Step 4: Simplify right side
    103,866.14x = 5,110,882,877.58
  5. Step 5: Solve for x
    x = 5,110,882,877.58/103,866.14
  6. Step 6: Final answer
    x = 49,206.44

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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.