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Finding the Fourth Proportional to 28,896.16, 43,346.88 and 8,119.84

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Solution

The fourth proportional to 28,896.16, 43,346.88 and 8,119.84 is: 12,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,896.16 : 43,346.88 = 8,119.84 : x
  2. Step 2: Convert to fraction form
    28,896.16/43,346.88 = 8,119.84/x
  3. Step 3: Cross multiply
    28,896.16x = 43,346.88 × 8,119.84
  4. Step 4: Simplify right side
    28,896.16x = 351,969,730.10
  5. Step 5: Solve for x
    x = 351,969,730.10/28,896.16
  6. Step 6: Final answer
    x = 12,180.50

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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.