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Finding the Fourth Proportional to 32,813.68, 45,278.72 and 20,709.65

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Solution

The fourth proportional to 32,813.68, 45,278.72 and 20,709.65 is: 28,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.68 : 45,278.72 = 20,709.65 : x
  2. Step 2: Convert to fraction form
    32,813.68/45,278.72 = 20,709.65/x
  3. Step 3: Cross multiply
    32,813.68x = 45,278.72 × 20,709.65
  4. Step 4: Simplify right side
    32,813.68x = 937,706,443.65
  5. Step 5: Solve for x
    x = 937,706,443.65/32,813.68
  6. Step 6: Final answer
    x = 28,576.69

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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.