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Finding the Fourth Proportional to 32,806.42, 49,217.43 and 10,619.80

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Solution

The fourth proportional to 32,806.42, 49,217.43 and 10,619.80 is: 15,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.42 : 49,217.43 = 10,619.80 : x
  2. Step 2: Convert to fraction form
    32,806.42/49,217.43 = 10,619.80/x
  3. Step 3: Cross multiply
    32,806.42x = 49,217.43 × 10,619.80
  4. Step 4: Simplify right side
    32,806.42x = 522,679,263.11
  5. Step 5: Solve for x
    x = 522,679,263.11/32,806.42
  6. Step 6: Final answer
    x = 15,932.22

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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.