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Finding the Fourth Proportional to 28,811.50, 43,224.54 and 8,035

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Solution

The fourth proportional to 28,811.50, 43,224.54 and 8,035 is: 12,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,811.50 : 43,224.54 = 8,035 : x
  2. Step 2: Convert to fraction form
    28,811.50/43,224.54 = 8,035/x
  3. Step 3: Cross multiply
    28,811.50x = 43,224.54 × 8,035
  4. Step 4: Simplify right side
    28,811.50x = 347,309,178.90
  5. Step 5: Solve for x
    x = 347,309,178.90/28,811.50
  6. Step 6: Final answer
    x = 12,054.53

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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.