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Finding the Fourth Proportional to 32,476.44, 48,616.02 and 20,797.86

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Solution

The fourth proportional to 32,476.44, 48,616.02 and 20,797.86 is: 31,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.44 : 48,616.02 = 20,797.86 : x
  2. Step 2: Convert to fraction form
    32,476.44/48,616.02 = 20,797.86/x
  3. Step 3: Cross multiply
    32,476.44x = 48,616.02 × 20,797.86
  4. Step 4: Simplify right side
    32,476.44x = 1,011,109,177.72
  5. Step 5: Solve for x
    x = 1,011,109,177.72/32,476.44
  6. Step 6: Final answer
    x = 31,133.62

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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.