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Finding the Fourth Proportional to 53,753.44, 80,630.16 and 26,032

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Solution

The fourth proportional to 53,753.44, 80,630.16 and 26,032 is: 39,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,753.44 : 80,630.16 = 26,032 : x
  2. Step 2: Convert to fraction form
    53,753.44/80,630.16 = 26,032/x
  3. Step 3: Cross multiply
    53,753.44x = 80,630.16 × 26,032
  4. Step 4: Simplify right side
    53,753.44x = 2,098,964,325.12
  5. Step 5: Solve for x
    x = 2,098,964,325.12/53,753.44
  6. Step 6: Final answer
    x = 39,048

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Why These Related Problems?

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