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Finding the Fourth Proportional to 62,101.68, 85,695.48 and 35,238

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Solution

The fourth proportional to 62,101.68, 85,695.48 and 35,238 is: 48,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,101.68 : 85,695.48 = 35,238 : x
  2. Step 2: Convert to fraction form
    62,101.68/85,695.48 = 35,238/x
  3. Step 3: Cross multiply
    62,101.68x = 85,695.48 × 35,238
  4. Step 4: Simplify right side
    62,101.68x = 3,019,737,324.24
  5. Step 5: Solve for x
    x = 3,019,737,324.24/62,101.68
  6. Step 6: Final answer
    x = 48,625.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.