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Finding the Fourth Proportional to 123,773.17, 185,669.57 and 35,027.23

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Solution

The fourth proportional to 123,773.17, 185,669.57 and 35,027.23 is: 52,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,773.17 : 185,669.57 = 35,027.23 : x
  2. Step 2: Convert to fraction form
    123,773.17/185,669.57 = 35,027.23/x
  3. Step 3: Cross multiply
    123,773.17x = 185,669.57 × 35,027.23
  4. Step 4: Simplify right side
    123,773.17x = 6,503,490,732.39
  5. Step 5: Solve for x
    x = 6,503,490,732.39/123,773.17
  6. Step 6: Final answer
    x = 52,543.62

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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.