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Finding the Fourth Proportional to 34,808.40, 48,045.96 and 27,732.24

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Solution

The fourth proportional to 34,808.40, 48,045.96 and 27,732.24 is: 38,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,808.40 : 48,045.96 = 27,732.24 : x
  2. Step 2: Convert to fraction form
    34,808.40/48,045.96 = 27,732.24/x
  3. Step 3: Cross multiply
    34,808.40x = 48,045.96 × 27,732.24
  4. Step 4: Simplify right side
    34,808.40x = 1,332,422,093.75
  5. Step 5: Solve for x
    x = 1,332,422,093.75/34,808.40
  6. Step 6: Final answer
    x = 38,278.75

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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.