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Finding the Fourth Proportional to 34,042.15, 51,064.59 and 11,857.77

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Solution

The fourth proportional to 34,042.15, 51,064.59 and 11,857.77 is: 17,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.15 : 51,064.59 = 11,857.77 : x
  2. Step 2: Convert to fraction form
    34,042.15/51,064.59 = 11,857.77/x
  3. Step 3: Cross multiply
    34,042.15x = 51,064.59 × 11,857.77
  4. Step 4: Simplify right side
    34,042.15x = 605,511,908.04
  5. Step 5: Solve for x
    x = 605,511,908.04/34,042.15
  6. Step 6: Final answer
    x = 17,787.13

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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.