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Finding the Fourth Proportional to 34,154.35, 47,102.28 and 21,408.82

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Solution

The fourth proportional to 34,154.35, 47,102.28 and 21,408.82 is: 29,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.35 : 47,102.28 = 21,408.82 : x
  2. Step 2: Convert to fraction form
    34,154.35/47,102.28 = 21,408.82/x
  3. Step 3: Cross multiply
    34,154.35x = 47,102.28 × 21,408.82
  4. Step 4: Simplify right side
    34,154.35x = 1,008,404,234.11
  5. Step 5: Solve for x
    x = 1,008,404,234.11/34,154.35
  6. Step 6: Final answer
    x = 29,524.91

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