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Finding the Fourth Proportional to 26,753.40, 40,132.50 and 7,031.64

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Solution

The fourth proportional to 26,753.40, 40,132.50 and 7,031.64 is: 10,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,753.40 : 40,132.50 = 7,031.64 : x
  2. Step 2: Convert to fraction form
    26,753.40/40,132.50 = 7,031.64/x
  3. Step 3: Cross multiply
    26,753.40x = 40,132.50 × 7,031.64
  4. Step 4: Simplify right side
    26,753.40x = 282,197,292.30
  5. Step 5: Solve for x
    x = 282,197,292.30/26,753.40
  6. Step 6: Final answer
    x = 10,548.09

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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.