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Finding the Fourth Proportional to 57,214.50, 85,821.73 and 22,154.16

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Solution

The fourth proportional to 57,214.50, 85,821.73 and 22,154.16 is: 33,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.50 : 85,821.73 = 22,154.16 : x
  2. Step 2: Convert to fraction form
    57,214.50/85,821.73 = 22,154.16/x
  3. Step 3: Cross multiply
    57,214.50x = 85,821.73 × 22,154.16
  4. Step 4: Simplify right side
    57,214.50x = 1,901,308,121.60
  5. Step 5: Solve for x
    x = 1,901,308,121.60/57,214.50
  6. Step 6: Final answer
    x = 33,231.23

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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.