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Finding the Fourth Proportional to 89,832.60, 123,968.79 and 54,043.38

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Solution

The fourth proportional to 89,832.60, 123,968.79 and 54,043.38 is: 74,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,832.60 : 123,968.79 = 54,043.38 : x
  2. Step 2: Convert to fraction form
    89,832.60/123,968.79 = 54,043.38/x
  3. Step 3: Cross multiply
    89,832.60x = 123,968.79 × 54,043.38
  4. Step 4: Simplify right side
    89,832.60x = 6,699,692,426.11
  5. Step 5: Solve for x
    x = 6,699,692,426.11/89,832.60
  6. Step 6: Final answer
    x = 74,579.75

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Why These Related Problems?

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