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Finding the Fourth Proportional to 27,408, 37,859.34 and 22,050.62

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Solution

The fourth proportional to 27,408, 37,859.34 and 22,050.62 is: 30,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 37,859.34 = 22,050.62 : x
  2. Step 2: Convert to fraction form
    27,408/37,859.34 = 22,050.62/x
  3. Step 3: Cross multiply
    27,408x = 37,859.34 × 22,050.62
  4. Step 4: Simplify right side
    27,408x = 834,821,730.49
  5. Step 5: Solve for x
    x = 834,821,730.49/27,408
  6. Step 6: Final answer
    x = 30,459.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.