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Finding the Fourth Proportional to 33,748.32, 50,622.06 and 9,124.32

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Solution

The fourth proportional to 33,748.32, 50,622.06 and 9,124.32 is: 13,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,748.32 : 50,622.06 = 9,124.32 : x
  2. Step 2: Convert to fraction form
    33,748.32/50,622.06 = 9,124.32/x
  3. Step 3: Cross multiply
    33,748.32x = 50,622.06 × 9,124.32
  4. Step 4: Simplify right side
    33,748.32x = 461,891,874.50
  5. Step 5: Solve for x
    x = 461,891,874.50/33,748.32
  6. Step 6: Final answer
    x = 13,686.37

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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.