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Finding the Fourth Proportional to 34,739.82, 47,890.76 and 22,782.42

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Solution

The fourth proportional to 34,739.82, 47,890.76 and 22,782.42 is: 31,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,739.82 : 47,890.76 = 22,782.42 : x
  2. Step 2: Convert to fraction form
    34,739.82/47,890.76 = 22,782.42/x
  3. Step 3: Cross multiply
    34,739.82x = 47,890.76 × 22,782.42
  4. Step 4: Simplify right side
    34,739.82x = 1,091,067,294.53
  5. Step 5: Solve for x
    x = 1,091,067,294.53/34,739.82
  6. Step 6: Final answer
    x = 31,406.82

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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.