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Finding the Fourth Proportional to 39,845.71, 59,754.49 and 11,758.25

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Solution

The fourth proportional to 39,845.71, 59,754.49 and 11,758.25 is: 17,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,845.71 : 59,754.49 = 11,758.25 : x
  2. Step 2: Convert to fraction form
    39,845.71/59,754.49 = 11,758.25/x
  3. Step 3: Cross multiply
    39,845.71x = 59,754.49 × 11,758.25
  4. Step 4: Simplify right side
    39,845.71x = 702,608,220.50
  5. Step 5: Solve for x
    x = 702,608,220.50/39,845.71
  6. Step 6: Final answer
    x = 17,633.22

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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.