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Finding the Fourth Proportional to 45,195, 67,816.14 and 32,817.28

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Solution

The fourth proportional to 45,195, 67,816.14 and 32,817.28 is: 49,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,195 : 67,816.14 = 32,817.28 : x
  2. Step 2: Convert to fraction form
    45,195/67,816.14 = 32,817.28/x
  3. Step 3: Cross multiply
    45,195x = 67,816.14 × 32,817.28
  4. Step 4: Simplify right side
    45,195x = 2,225,541,254.90
  5. Step 5: Solve for x
    x = 2,225,541,254.90/45,195
  6. Step 6: Final answer
    x = 49,243.09

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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.