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Finding the Fourth Proportional to 34,509.96, 47,653.62 and 32,738.48

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Solution

The fourth proportional to 34,509.96, 47,653.62 and 32,738.48 is: 45,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.96 : 47,653.62 = 32,738.48 : x
  2. Step 2: Convert to fraction form
    34,509.96/47,653.62 = 32,738.48/x
  3. Step 3: Cross multiply
    34,509.96x = 47,653.62 × 32,738.48
  4. Step 4: Simplify right side
    34,509.96x = 1,560,107,085.30
  5. Step 5: Solve for x
    x = 1,560,107,085.30/34,509.96
  6. Step 6: Final answer
    x = 45,207.44

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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.