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Finding the Fourth Proportional to 27,354.34, 41,031.32 and 7,633

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Solution

The fourth proportional to 27,354.34, 41,031.32 and 7,633 is: 11,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354.34 : 41,031.32 = 7,633 : x
  2. Step 2: Convert to fraction form
    27,354.34/41,031.32 = 7,633/x
  3. Step 3: Cross multiply
    27,354.34x = 41,031.32 × 7,633
  4. Step 4: Simplify right side
    27,354.34x = 313,192,065.56
  5. Step 5: Solve for x
    x = 313,192,065.56/27,354.34
  6. Step 6: Final answer
    x = 11,449.45

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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.