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Finding the Fourth Proportional to 123,051.73, 184,620.43 and 38,824.90

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Solution

The fourth proportional to 123,051.73, 184,620.43 and 38,824.90 is: 58,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,051.73 : 184,620.43 = 38,824.90 : x
  2. Step 2: Convert to fraction form
    123,051.73/184,620.43 = 38,824.90/x
  3. Step 3: Cross multiply
    123,051.73x = 184,620.43 × 38,824.90
  4. Step 4: Simplify right side
    123,051.73x = 7,167,869,732.71
  5. Step 5: Solve for x
    x = 7,167,869,732.71/123,051.73
  6. Step 6: Final answer
    x = 58,250.87

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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.