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Finding the Fourth Proportional to 39,022.68, 53,854.38 and 22,255.32

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Solution

The fourth proportional to 39,022.68, 53,854.38 and 22,255.32 is: 30,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022.68 : 53,854.38 = 22,255.32 : x
  2. Step 2: Convert to fraction form
    39,022.68/53,854.38 = 22,255.32/x
  3. Step 3: Cross multiply
    39,022.68x = 53,854.38 × 22,255.32
  4. Step 4: Simplify right side
    39,022.68x = 1,198,546,460.30
  5. Step 5: Solve for x
    x = 1,198,546,460.30/39,022.68
  6. Step 6: Final answer
    x = 30,714.10

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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.