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Finding the Fourth Proportional to 123,063.82, 184,593.08 and 34,314.96

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Solution

The fourth proportional to 123,063.82, 184,593.08 and 34,314.96 is: 51,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,063.82 : 184,593.08 = 34,314.96 : x
  2. Step 2: Convert to fraction form
    123,063.82/184,593.08 = 34,314.96/x
  3. Step 3: Cross multiply
    123,063.82x = 184,593.08 × 34,314.96
  4. Step 4: Simplify right side
    123,063.82x = 6,334,304,156.48
  5. Step 5: Solve for x
    x = 6,334,304,156.48/123,063.82
  6. Step 6: Final answer
    x = 51,471.70

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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.