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Finding the Fourth Proportional to 36,031.74, 54,048.97 and 9,736.48

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Solution

The fourth proportional to 36,031.74, 54,048.97 and 9,736.48 is: 14,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031.74 : 54,048.97 = 9,736.48 : x
  2. Step 2: Convert to fraction form
    36,031.74/54,048.97 = 9,736.48/x
  3. Step 3: Cross multiply
    36,031.74x = 54,048.97 × 9,736.48
  4. Step 4: Simplify right side
    36,031.74x = 526,246,643.14
  5. Step 5: Solve for x
    x = 526,246,643.14/36,031.74
  6. Step 6: Final answer
    x = 14,605.09

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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.