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Finding the Fourth Proportional to 38,494.80, 53,122.86 and 22,365.24

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Solution

The fourth proportional to 38,494.80, 53,122.86 and 22,365.24 is: 30,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.80 : 53,122.86 = 22,365.24 : x
  2. Step 2: Convert to fraction form
    38,494.80/53,122.86 = 22,365.24/x
  3. Step 3: Cross multiply
    38,494.80x = 53,122.86 × 22,365.24
  4. Step 4: Simplify right side
    38,494.80x = 1,188,105,513.39
  5. Step 5: Solve for x
    x = 1,188,105,513.39/38,494.80
  6. Step 6: Final answer
    x = 30,864.05

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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.