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Finding the Fourth Proportional to 34,741.44, 47,900.16 and 23,544

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Solution

The fourth proportional to 34,741.44, 47,900.16 and 23,544 is: 32,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.44 : 47,900.16 = 23,544 : x
  2. Step 2: Convert to fraction form
    34,741.44/47,900.16 = 23,544/x
  3. Step 3: Cross multiply
    34,741.44x = 47,900.16 × 23,544
  4. Step 4: Simplify right side
    34,741.44x = 1,127,761,367.04
  5. Step 5: Solve for x
    x = 1,127,761,367.04/34,741.44
  6. Step 6: Final answer
    x = 32,461.56

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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.