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Finding the Fourth Proportional to 34,886.68, 48,142.61 and 19,780.78

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Solution

The fourth proportional to 34,886.68, 48,142.61 and 19,780.78 is: 27,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,886.68 : 48,142.61 = 19,780.78 : x
  2. Step 2: Convert to fraction form
    34,886.68/48,142.61 = 19,780.78/x
  3. Step 3: Cross multiply
    34,886.68x = 48,142.61 × 19,780.78
  4. Step 4: Simplify right side
    34,886.68x = 952,298,377.04
  5. Step 5: Solve for x
    x = 952,298,377.04/34,886.68
  6. Step 6: Final answer
    x = 27,296.90

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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.