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Finding the Fourth Proportional to 54,383.52, 75,034.80 and 32,868

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Solution

The fourth proportional to 54,383.52, 75,034.80 and 32,868 is: 45,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,383.52 : 75,034.80 = 32,868 : x
  2. Step 2: Convert to fraction form
    54,383.52/75,034.80 = 32,868/x
  3. Step 3: Cross multiply
    54,383.52x = 75,034.80 × 32,868
  4. Step 4: Simplify right side
    54,383.52x = 2,466,243,806.40
  5. Step 5: Solve for x
    x = 2,466,243,806.40/54,383.52
  6. Step 6: Final answer
    x = 45,349.10

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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.