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Finding the Fourth Proportional to 34,105.32, 47,065.26 and 23,911.32

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Solution

The fourth proportional to 34,105.32, 47,065.26 and 23,911.32 is: 32,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.32 : 47,065.26 = 23,911.32 : x
  2. Step 2: Convert to fraction form
    34,105.32/47,065.26 = 23,911.32/x
  3. Step 3: Cross multiply
    34,105.32x = 47,065.26 × 23,911.32
  4. Step 4: Simplify right side
    34,105.32x = 1,125,392,492.74
  5. Step 5: Solve for x
    x = 1,125,392,492.74/34,105.32
  6. Step 6: Final answer
    x = 32,997.56

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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.