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Finding the Fourth Proportional to 38,563.29, 53,214.57 and 22,645.58

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Solution

The fourth proportional to 38,563.29, 53,214.57 and 22,645.58 is: 31,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563.29 : 53,214.57 = 22,645.58 : x
  2. Step 2: Convert to fraction form
    38,563.29/53,214.57 = 22,645.58/x
  3. Step 3: Cross multiply
    38,563.29x = 53,214.57 × 22,645.58
  4. Step 4: Simplify right side
    38,563.29x = 1,205,074,536.03
  5. Step 5: Solve for x
    x = 1,205,074,536.03/38,563.29
  6. Step 6: Final answer
    x = 31,249.27

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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.