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Finding the Fourth Proportional to 34,728.69, 52,092.81 and 8,433.48

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Solution

The fourth proportional to 34,728.69, 52,092.81 and 8,433.48 is: 12,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.69 : 52,092.81 = 8,433.48 : x
  2. Step 2: Convert to fraction form
    34,728.69/52,092.81 = 8,433.48/x
  3. Step 3: Cross multiply
    34,728.69x = 52,092.81 × 8,433.48
  4. Step 4: Simplify right side
    34,728.69x = 439,323,671.28
  5. Step 5: Solve for x
    x = 439,323,671.28/34,728.69
  6. Step 6: Final answer
    x = 12,650.17

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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.