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Finding the Fourth Proportional to 76,618.39, 105,734.34 and 42,167.09

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Solution

The fourth proportional to 76,618.39, 105,734.34 and 42,167.09 is: 58,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,618.39 : 105,734.34 = 42,167.09 : x
  2. Step 2: Convert to fraction form
    76,618.39/105,734.34 = 42,167.09/x
  3. Step 3: Cross multiply
    76,618.39x = 105,734.34 × 42,167.09
  4. Step 4: Simplify right side
    76,618.39x = 4,458,508,902.20
  5. Step 5: Solve for x
    x = 4,458,508,902.20/76,618.39
  6. Step 6: Final answer
    x = 58,191.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.