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Finding the Fourth Proportional to 39,023.38, 53,852.41 and 22,027.78

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Solution

The fourth proportional to 39,023.38, 53,852.41 and 22,027.78 is: 30,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,023.38 : 53,852.41 = 22,027.78 : x
  2. Step 2: Convert to fraction form
    39,023.38/53,852.41 = 22,027.78/x
  3. Step 3: Cross multiply
    39,023.38x = 53,852.41 × 22,027.78
  4. Step 4: Simplify right side
    39,023.38x = 1,186,249,039.95
  5. Step 5: Solve for x
    x = 1,186,249,039.95/39,023.38
  6. Step 6: Final answer
    x = 30,398.42

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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.