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Finding the Fourth Proportional to 57,157.68, 85,706.28 and 22,062

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Solution

The fourth proportional to 57,157.68, 85,706.28 and 22,062 is: 33,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.68 : 85,706.28 = 22,062 : x
  2. Step 2: Convert to fraction form
    57,157.68/85,706.28 = 22,062/x
  3. Step 3: Cross multiply
    57,157.68x = 85,706.28 × 22,062
  4. Step 4: Simplify right side
    57,157.68x = 1,890,851,949.36
  5. Step 5: Solve for x
    x = 1,890,851,949.36/57,157.68
  6. Step 6: Final answer
    x = 33,081.33

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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.