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Finding the Fourth Proportional to 44,537.24, 61,471.50 and 27,767

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Solution

The fourth proportional to 44,537.24, 61,471.50 and 27,767 is: 38,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,537.24 : 61,471.50 = 27,767 : x
  2. Step 2: Convert to fraction form
    44,537.24/61,471.50 = 27,767/x
  3. Step 3: Cross multiply
    44,537.24x = 61,471.50 × 27,767
  4. Step 4: Simplify right side
    44,537.24x = 1,706,879,140.50
  5. Step 5: Solve for x
    x = 1,706,879,140.50/44,537.24
  6. Step 6: Final answer
    x = 38,324.76

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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.