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Finding the Fourth Proportional to 32,974.87, 45,469.86 and 32,282.93

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Solution

The fourth proportional to 32,974.87, 45,469.86 and 32,282.93 is: 44,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.87 : 45,469.86 = 32,282.93 : x
  2. Step 2: Convert to fraction form
    32,974.87/45,469.86 = 32,282.93/x
  3. Step 3: Cross multiply
    32,974.87x = 45,469.86 × 32,282.93
  4. Step 4: Simplify right side
    32,974.87x = 1,467,900,172.22
  5. Step 5: Solve for x
    x = 1,467,900,172.22/32,974.87
  6. Step 6: Final answer
    x = 44,515.72

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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.