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Finding the Fourth Proportional to 44,745.29, 61,742.49 and 27,743.33

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Solution

The fourth proportional to 44,745.29, 61,742.49 and 27,743.33 is: 38,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,745.29 : 61,742.49 = 27,743.33 : x
  2. Step 2: Convert to fraction form
    44,745.29/61,742.49 = 27,743.33/x
  3. Step 3: Cross multiply
    44,745.29x = 61,742.49 × 27,743.33
  4. Step 4: Simplify right side
    44,745.29x = 1,712,942,275.09
  5. Step 5: Solve for x
    x = 1,712,942,275.09/44,745.29
  6. Step 6: Final answer
    x = 38,282.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.