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Finding the Fourth Proportional to 55,638, 83,467.46 and 22,360.70

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Solution

The fourth proportional to 55,638, 83,467.46 and 22,360.70 is: 33,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638 : 83,467.46 = 22,360.70 : x
  2. Step 2: Convert to fraction form
    55,638/83,467.46 = 22,360.70/x
  3. Step 3: Cross multiply
    55,638x = 83,467.46 × 22,360.70
  4. Step 4: Simplify right side
    55,638x = 1,866,391,097.39
  5. Step 5: Solve for x
    x = 1,866,391,097.39/55,638
  6. Step 6: Final answer
    x = 33,545.26

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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.