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Finding the Fourth Proportional to 89,362.40, 123,320.96 and 49,077

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Solution

The fourth proportional to 89,362.40, 123,320.96 and 49,077 is: 67,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,362.40 : 123,320.96 = 49,077 : x
  2. Step 2: Convert to fraction form
    89,362.40/123,320.96 = 49,077/x
  3. Step 3: Cross multiply
    89,362.40x = 123,320.96 × 49,077
  4. Step 4: Simplify right side
    89,362.40x = 6,052,222,968.63
  5. Step 5: Solve for x
    x = 6,052,222,968.63/89,362.40
  6. Step 6: Final answer
    x = 67,726.73

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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.