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Finding the Fourth Proportional to 35,220, 52,793.60 and 11,838.56

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Solution

The fourth proportional to 35,220, 52,793.60 and 11,838.56 is: 17,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220 : 52,793.60 = 11,838.56 : x
  2. Step 2: Convert to fraction form
    35,220/52,793.60 = 11,838.56/x
  3. Step 3: Cross multiply
    35,220x = 52,793.60 × 11,838.56
  4. Step 4: Simplify right side
    35,220x = 625,000,201.22
  5. Step 5: Solve for x
    x = 625,000,201.22/35,220
  6. Step 6: Final answer
    x = 17,745.60

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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.