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Finding the Fourth Proportional to 38,791.38, 53,530.38 and 23,709.24

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Solution

The fourth proportional to 38,791.38, 53,530.38 and 23,709.24 is: 32,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.38 : 53,530.38 = 23,709.24 : x
  2. Step 2: Convert to fraction form
    38,791.38/53,530.38 = 23,709.24/x
  3. Step 3: Cross multiply
    38,791.38x = 53,530.38 × 23,709.24
  4. Step 4: Simplify right side
    38,791.38x = 1,269,164,626.71
  5. Step 5: Solve for x
    x = 1,269,164,626.71/38,791.38
  6. Step 6: Final answer
    x = 32,717.70

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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.