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Finding the Fourth Proportional to 38,452.26, 53,065.39 and 22,318.36

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Solution

The fourth proportional to 38,452.26, 53,065.39 and 22,318.36 is: 30,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.26 : 53,065.39 = 22,318.36 : x
  2. Step 2: Convert to fraction form
    38,452.26/53,065.39 = 22,318.36/x
  3. Step 3: Cross multiply
    38,452.26x = 53,065.39 × 22,318.36
  4. Step 4: Simplify right side
    38,452.26x = 1,184,332,289.10
  5. Step 5: Solve for x
    x = 1,184,332,289.10/38,452.26
  6. Step 6: Final answer
    x = 30,800.07

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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.