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Finding the Fourth Proportional to 35,517.72, 48,658.56 and 34,188.24

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Solution

The fourth proportional to 35,517.72, 48,658.56 and 34,188.24 is: 46,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517.72 : 48,658.56 = 34,188.24 : x
  2. Step 2: Convert to fraction form
    35,517.72/48,658.56 = 34,188.24/x
  3. Step 3: Cross multiply
    35,517.72x = 48,658.56 × 34,188.24
  4. Step 4: Simplify right side
    35,517.72x = 1,663,550,527.33
  5. Step 5: Solve for x
    x = 1,663,550,527.33/35,517.72
  6. Step 6: Final answer
    x = 46,837.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.