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Finding the Fourth Proportional to 38,694.60, 53,399.14 and 22,561.46

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Solution

The fourth proportional to 38,694.60, 53,399.14 and 22,561.46 is: 31,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,694.60 : 53,399.14 = 22,561.46 : x
  2. Step 2: Convert to fraction form
    38,694.60/53,399.14 = 22,561.46/x
  3. Step 3: Cross multiply
    38,694.60x = 53,399.14 × 22,561.46
  4. Step 4: Simplify right side
    38,694.60x = 1,204,762,638.24
  5. Step 5: Solve for x
    x = 1,204,762,638.24/38,694.60
  6. Step 6: Final answer
    x = 31,135.16

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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.