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Finding the Fourth Proportional to 75,896.80, 113,871.62 and 33,806.77

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Solution

The fourth proportional to 75,896.80, 113,871.62 and 33,806.77 is: 50,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,896.80 : 113,871.62 = 33,806.77 : x
  2. Step 2: Convert to fraction form
    75,896.80/113,871.62 = 33,806.77/x
  3. Step 3: Cross multiply
    75,896.80x = 113,871.62 × 33,806.77
  4. Step 4: Simplify right side
    75,896.80x = 3,849,631,466.71
  5. Step 5: Solve for x
    x = 3,849,631,466.71/75,896.80
  6. Step 6: Final answer
    x = 50,721.92

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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.