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Finding the Fourth Proportional to 41,448, 57,198.24 and 22,585.13

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Solution

The fourth proportional to 41,448, 57,198.24 and 22,585.13 is: 31,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448 : 57,198.24 = 22,585.13 : x
  2. Step 2: Convert to fraction form
    41,448/57,198.24 = 22,585.13/x
  3. Step 3: Cross multiply
    41,448x = 57,198.24 × 22,585.13
  4. Step 4: Simplify right side
    41,448x = 1,291,829,400.18
  5. Step 5: Solve for x
    x = 1,291,829,400.18/41,448
  6. Step 6: Final answer
    x = 31,167.47

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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.