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Finding the Fourth Proportional to 57,705.28, 86,569.15 and 22,164

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Solution

The fourth proportional to 57,705.28, 86,569.15 and 22,164 is: 33,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.28 : 86,569.15 = 22,164 : x
  2. Step 2: Convert to fraction form
    57,705.28/86,569.15 = 22,164/x
  3. Step 3: Cross multiply
    57,705.28x = 86,569.15 × 22,164
  4. Step 4: Simplify right side
    57,705.28x = 1,918,718,640.60
  5. Step 5: Solve for x
    x = 1,918,718,640.60/57,705.28
  6. Step 6: Final answer
    x = 33,250.31

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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.