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Finding the Fourth Proportional to 89,688, 123,773.28 and 49,944

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Solution

The fourth proportional to 89,688, 123,773.28 and 49,944 is: 68,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,688 : 123,773.28 = 49,944 : x
  2. Step 2: Convert to fraction form
    89,688/123,773.28 = 49,944/x
  3. Step 3: Cross multiply
    89,688x = 123,773.28 × 49,944
  4. Step 4: Simplify right side
    89,688x = 6,181,732,696.32
  5. Step 5: Solve for x
    x = 6,181,732,696.32/89,688
  6. Step 6: Final answer
    x = 68,924.86

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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.