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Finding the Fourth Proportional to 75,881.61, 113,847.93 and 33,790.37

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Solution

The fourth proportional to 75,881.61, 113,847.93 and 33,790.37 is: 50,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.61 : 113,847.93 = 33,790.37 : x
  2. Step 2: Convert to fraction form
    75,881.61/113,847.93 = 33,790.37/x
  3. Step 3: Cross multiply
    75,881.61x = 113,847.93 × 33,790.37
  4. Step 4: Simplify right side
    75,881.61x = 3,846,963,109.19
  5. Step 5: Solve for x
    x = 3,846,963,109.19/75,881.61
  6. Step 6: Final answer
    x = 50,696.91

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Why These Related Problems?

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