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Finding the Fourth Proportional to 39,152.08, 54,028.92 and 22,384

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Solution

The fourth proportional to 39,152.08, 54,028.92 and 22,384 is: 30,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152.08 : 54,028.92 = 22,384 : x
  2. Step 2: Convert to fraction form
    39,152.08/54,028.92 = 22,384/x
  3. Step 3: Cross multiply
    39,152.08x = 54,028.92 × 22,384
  4. Step 4: Simplify right side
    39,152.08x = 1,209,383,345.28
  5. Step 5: Solve for x
    x = 1,209,383,345.28/39,152.08
  6. Step 6: Final answer
    x = 30,889.38

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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.