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Finding the Fourth Proportional to 123,819.60, 185,624.49 and 48,992.53

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Solution

The fourth proportional to 123,819.60, 185,624.49 and 48,992.53 is: 73,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,819.60 : 185,624.49 = 48,992.53 : x
  2. Step 2: Convert to fraction form
    123,819.60/185,624.49 = 48,992.53/x
  3. Step 3: Cross multiply
    123,819.60x = 185,624.49 × 48,992.53
  4. Step 4: Simplify right side
    123,819.60x = 9,094,213,395.06
  5. Step 5: Solve for x
    x = 9,094,213,395.06/123,819.60
  6. Step 6: Final answer
    x = 73,447.28

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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.