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Finding the Fourth Proportional to 123,849.84, 185,774.76 and 49,926

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Solution

The fourth proportional to 123,849.84, 185,774.76 and 49,926 is: 74,889

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,849.84 : 185,774.76 = 49,926 : x
  2. Step 2: Convert to fraction form
    123,849.84/185,774.76 = 49,926/x
  3. Step 3: Cross multiply
    123,849.84x = 185,774.76 × 49,926
  4. Step 4: Simplify right side
    123,849.84x = 9,274,990,667.76
  5. Step 5: Solve for x
    x = 9,274,990,667.76/123,849.84
  6. Step 6: Final answer
    x = 74,889

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.