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Finding the Fourth Proportional to 34,728.78, 52,092.78 and 8,433.51

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Solution

The fourth proportional to 34,728.78, 52,092.78 and 8,433.51 is: 12,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.78 : 52,092.78 = 8,433.51 : x
  2. Step 2: Convert to fraction form
    34,728.78/52,092.78 = 8,433.51/x
  3. Step 3: Cross multiply
    34,728.78x = 52,092.78 × 8,433.51
  4. Step 4: Simplify right side
    34,728.78x = 439,324,981.06
  5. Step 5: Solve for x
    x = 439,324,981.06/34,728.78
  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.