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Finding the Fourth Proportional to 41,742, 57,603.96 and 22,879.26

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Solution

The fourth proportional to 41,742, 57,603.96 and 22,879.26 is: 31,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 57,603.96 = 22,879.26 : x
  2. Step 2: Convert to fraction form
    41,742/57,603.96 = 22,879.26/x
  3. Step 3: Cross multiply
    41,742x = 57,603.96 × 22,879.26
  4. Step 4: Simplify right side
    41,742x = 1,317,935,977.87
  5. Step 5: Solve for x
    x = 1,317,935,977.87/41,742
  6. Step 6: Final answer
    x = 31,573.38

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1.5x scale

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.