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Finding the Fourth Proportional to 56,006.70, 84,022.52 and 20,467.96

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Solution

The fourth proportional to 56,006.70, 84,022.52 and 20,467.96 is: 30,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,006.70 : 84,022.52 = 20,467.96 : x
  2. Step 2: Convert to fraction form
    56,006.70/84,022.52 = 20,467.96/x
  3. Step 3: Cross multiply
    56,006.70x = 84,022.52 × 20,467.96
  4. Step 4: Simplify right side
    56,006.70x = 1,719,769,578.46
  5. Step 5: Solve for x
    x = 1,719,769,578.46/56,006.70
  6. Step 6: Final answer
    x = 30,706.50

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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.