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Finding the Fourth Proportional to 57,175.80, 85,763.70 and 15,622.80

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Solution

The fourth proportional to 57,175.80, 85,763.70 and 15,622.80 is: 23,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175.80 : 85,763.70 = 15,622.80 : x
  2. Step 2: Convert to fraction form
    57,175.80/85,763.70 = 15,622.80/x
  3. Step 3: Cross multiply
    57,175.80x = 85,763.70 × 15,622.80
  4. Step 4: Simplify right side
    57,175.80x = 1,339,869,132.36
  5. Step 5: Solve for x
    x = 1,339,869,132.36/57,175.80
  6. Step 6: Final answer
    x = 23,434.20

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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.