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Finding the Fourth Proportional to 32,626, 45,023.88 and 17,722

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Solution

The fourth proportional to 32,626, 45,023.88 and 17,722 is: 24,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626 : 45,023.88 = 17,722 : x
  2. Step 2: Convert to fraction form
    32,626/45,023.88 = 17,722/x
  3. Step 3: Cross multiply
    32,626x = 45,023.88 × 17,722
  4. Step 4: Simplify right side
    32,626x = 797,913,201.36
  5. Step 5: Solve for x
    x = 797,913,201.36/32,626
  6. Step 6: Final answer
    x = 24,456.36

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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.