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Finding the Fourth Proportional to 28,826.16, 43,238.64 and 8,049.12

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Solution

The fourth proportional to 28,826.16, 43,238.64 and 8,049.12 is: 12,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,826.16 : 43,238.64 = 8,049.12 : x
  2. Step 2: Convert to fraction form
    28,826.16/43,238.64 = 8,049.12/x
  3. Step 3: Cross multiply
    28,826.16x = 43,238.64 × 8,049.12
  4. Step 4: Simplify right side
    28,826.16x = 348,033,002.00
  5. Step 5: Solve for x
    x = 348,033,002.00/28,826.16
  6. Step 6: Final answer
    x = 12,073.51

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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.