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Finding the Fourth Proportional to 32,974.12, 49,379.13 and 23,067.01

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Solution

The fourth proportional to 32,974.12, 49,379.13 and 23,067.01 is: 34,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.12 : 49,379.13 = 23,067.01 : x
  2. Step 2: Convert to fraction form
    32,974.12/49,379.13 = 23,067.01/x
  3. Step 3: Cross multiply
    32,974.12x = 49,379.13 × 23,067.01
  4. Step 4: Simplify right side
    32,974.12x = 1,139,028,947.23
  5. Step 5: Solve for x
    x = 1,139,028,947.23/32,974.12
  6. Step 6: Final answer
    x = 34,543.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.