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Finding the Fourth Proportional to 34,780.96, 47,996.88 and 19,876

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Solution

The fourth proportional to 34,780.96, 47,996.88 and 19,876 is: 27,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.96 : 47,996.88 = 19,876 : x
  2. Step 2: Convert to fraction form
    34,780.96/47,996.88 = 19,876/x
  3. Step 3: Cross multiply
    34,780.96x = 47,996.88 × 19,876
  4. Step 4: Simplify right side
    34,780.96x = 953,985,986.88
  5. Step 5: Solve for x
    x = 953,985,986.88/34,780.96
  6. Step 6: Final answer
    x = 27,428.40

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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.