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Finding the Fourth Proportional to 45,162.28, 67,785 and 22,991.50

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Solution

The fourth proportional to 45,162.28, 67,785 and 22,991.50 is: 34,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162.28 : 67,785 = 22,991.50 : x
  2. Step 2: Convert to fraction form
    45,162.28/67,785 = 22,991.50/x
  3. Step 3: Cross multiply
    45,162.28x = 67,785 × 22,991.50
  4. Step 4: Simplify right side
    45,162.28x = 1,558,478,827.50
  5. Step 5: Solve for x
    x = 1,558,478,827.50/45,162.28
  6. Step 6: Final answer
    x = 34,508.42

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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.