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Finding the Fourth Proportional to 38,790.22, 53,530.56 and 22,023.22

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Solution

The fourth proportional to 38,790.22, 53,530.56 and 22,023.22 is: 30,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,790.22 : 53,530.56 = 22,023.22 : x
  2. Step 2: Convert to fraction form
    38,790.22/53,530.56 = 22,023.22/x
  3. Step 3: Cross multiply
    38,790.22x = 53,530.56 × 22,023.22
  4. Step 4: Simplify right side
    38,790.22x = 1,178,915,189.49
  5. Step 5: Solve for x
    x = 1,178,915,189.49/38,790.22
  6. Step 6: Final answer
    x = 30,392.07

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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.