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Finding the Fourth Proportional to 40,617.19, 56,065.84 and 27,912.44

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Solution

The fourth proportional to 40,617.19, 56,065.84 and 27,912.44 is: 38,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,617.19 : 56,065.84 = 27,912.44 : x
  2. Step 2: Convert to fraction form
    40,617.19/56,065.84 = 27,912.44/x
  3. Step 3: Cross multiply
    40,617.19x = 56,065.84 × 27,912.44
  4. Step 4: Simplify right side
    40,617.19x = 1,564,934,465.43
  5. Step 5: Solve for x
    x = 1,564,934,465.43/40,617.19
  6. Step 6: Final answer
    x = 38,528.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.