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Finding the Fourth Proportional to 51,335.69, 70,843.07 and 29,828.57

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Solution

The fourth proportional to 51,335.69, 70,843.07 and 29,828.57 is: 41,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,335.69 : 70,843.07 = 29,828.57 : x
  2. Step 2: Convert to fraction form
    51,335.69/70,843.07 = 29,828.57/x
  3. Step 3: Cross multiply
    51,335.69x = 70,843.07 × 29,828.57
  4. Step 4: Simplify right side
    51,335.69x = 2,113,147,192.87
  5. Step 5: Solve for x
    x = 2,113,147,192.87/51,335.69
  6. Step 6: Final answer
    x = 41,163.32

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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.