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Finding the Fourth Proportional to 89,833, 123,970.48 and 49,546.42

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Solution

The fourth proportional to 89,833, 123,970.48 and 49,546.42 is: 68,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,833 : 123,970.48 = 49,546.42 : x
  2. Step 2: Convert to fraction form
    89,833/123,970.48 = 49,546.42/x
  3. Step 3: Cross multiply
    89,833x = 123,970.48 × 49,546.42
  4. Step 4: Simplify right side
    89,833x = 6,142,293,469.68
  5. Step 5: Solve for x
    x = 6,142,293,469.68/89,833
  6. Step 6: Final answer
    x = 68,374.58

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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.