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Finding the Fourth Proportional to 34,728.24, 52,091.64 and 8,433.12

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Solution

The fourth proportional to 34,728.24, 52,091.64 and 8,433.12 is: 12,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.24 : 52,091.64 = 8,433.12 : x
  2. Step 2: Convert to fraction form
    34,728.24/52,091.64 = 8,433.12/x
  3. Step 3: Cross multiply
    34,728.24x = 52,091.64 × 8,433.12
  4. Step 4: Simplify right side
    34,728.24x = 439,295,051.12
  5. Step 5: Solve for x
    x = 439,295,051.12/34,728.24
  6. Step 6: Final answer
    x = 12,649.51

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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.