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Finding the Fourth Proportional to 28,978.68, 43,466.52 and 8,202.24

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Solution

The fourth proportional to 28,978.68, 43,466.52 and 8,202.24 is: 12,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,978.68 : 43,466.52 = 8,202.24 : x
  2. Step 2: Convert to fraction form
    28,978.68/43,466.52 = 8,202.24/x
  3. Step 3: Cross multiply
    28,978.68x = 43,466.52 × 8,202.24
  4. Step 4: Simplify right side
    28,978.68x = 356,522,829.00
  5. Step 5: Solve for x
    x = 356,522,829.00/28,978.68
  6. Step 6: Final answer
    x = 12,302.94

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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.