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Finding the Fourth Proportional to 32,568.84, 48,826.26 and 27,006.84

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Solution

The fourth proportional to 32,568.84, 48,826.26 and 27,006.84 is: 40,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.84 : 48,826.26 = 27,006.84 : x
  2. Step 2: Convert to fraction form
    32,568.84/48,826.26 = 27,006.84/x
  3. Step 3: Cross multiply
    32,568.84x = 48,826.26 × 27,006.84
  4. Step 4: Simplify right side
    32,568.84x = 1,318,642,991.62
  5. Step 5: Solve for x
    x = 1,318,642,991.62/32,568.84
  6. Step 6: Final answer
    x = 40,487.87

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1.5x scale

Why These Related Problems?

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