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Finding the Fourth Proportional to 32,105.08, 48,092.34 and 26,203

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Solution

The fourth proportional to 32,105.08, 48,092.34 and 26,203 is: 39,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.08 : 48,092.34 = 26,203 : x
  2. Step 2: Convert to fraction form
    32,105.08/48,092.34 = 26,203/x
  3. Step 3: Cross multiply
    32,105.08x = 48,092.34 × 26,203
  4. Step 4: Simplify right side
    32,105.08x = 1,260,163,585.02
  5. Step 5: Solve for x
    x = 1,260,163,585.02/32,105.08
  6. Step 6: Final answer
    x = 39,251.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.