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Finding the Fourth Proportional to 34,780.25, 47,996.75 and 19,876.25

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Solution

The fourth proportional to 34,780.25, 47,996.75 and 19,876.25 is: 27,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.25 : 47,996.75 = 19,876.25 : x
  2. Step 2: Convert to fraction form
    34,780.25/47,996.75 = 19,876.25/x
  3. Step 3: Cross multiply
    34,780.25x = 47,996.75 × 19,876.25
  4. Step 4: Simplify right side
    34,780.25x = 953,995,402.19
  5. Step 5: Solve for x
    x = 953,995,402.19/34,780.25
  6. Step 6: Final answer
    x = 27,429.23

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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.