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Finding the Fourth Proportional to 34,786.96, 48,005.16 and 19,882

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Solution

The fourth proportional to 34,786.96, 48,005.16 and 19,882 is: 27,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,786.96 : 48,005.16 = 19,882 : x
  2. Step 2: Convert to fraction form
    34,786.96/48,005.16 = 19,882/x
  3. Step 3: Cross multiply
    34,786.96x = 48,005.16 × 19,882
  4. Step 4: Simplify right side
    34,786.96x = 954,438,591.12
  5. Step 5: Solve for x
    x = 954,438,591.12/34,786.96
  6. Step 6: Final answer
    x = 27,436.68

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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.