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Finding the Fourth Proportional to 39,023.36, 53,854.08 and 22,256

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Solution

The fourth proportional to 39,023.36, 53,854.08 and 22,256 is: 30,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,023.36 : 53,854.08 = 22,256 : x
  2. Step 2: Convert to fraction form
    39,023.36/53,854.08 = 22,256/x
  3. Step 3: Cross multiply
    39,023.36x = 53,854.08 × 22,256
  4. Step 4: Simplify right side
    39,023.36x = 1,198,576,404.48
  5. Step 5: Solve for x
    x = 1,198,576,404.48/39,023.36
  6. Step 6: Final answer
    x = 30,714.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.