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Finding the Fourth Proportional to 34,728.75, 52,093.08 and 8,433.45

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Solution

The fourth proportional to 34,728.75, 52,093.08 and 8,433.45 is: 12,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.75 : 52,093.08 = 8,433.45 : x
  2. Step 2: Convert to fraction form
    34,728.75/52,093.08 = 8,433.45/x
  3. Step 3: Cross multiply
    34,728.75x = 52,093.08 × 8,433.45
  4. Step 4: Simplify right side
    34,728.75x = 439,324,385.53
  5. Step 5: Solve for x
    x = 439,324,385.53/34,728.75
  6. Step 6: Final answer
    x = 12,650.16

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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.