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Finding the Fourth Proportional to 34,091.76, 51,149.92 and 11,908.40

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Solution

The fourth proportional to 34,091.76, 51,149.92 and 11,908.40 is: 17,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,091.76 : 51,149.92 = 11,908.40 : x
  2. Step 2: Convert to fraction form
    34,091.76/51,149.92 = 11,908.40/x
  3. Step 3: Cross multiply
    34,091.76x = 51,149.92 × 11,908.40
  4. Step 4: Simplify right side
    34,091.76x = 609,113,707.33
  5. Step 5: Solve for x
    x = 609,113,707.33/34,091.76
  6. Step 6: Final answer
    x = 17,866.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.