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Finding the Fourth Proportional to 28,809.50, 43,221.54 and 8,033

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Solution

The fourth proportional to 28,809.50, 43,221.54 and 8,033 is: 12,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,809.50 : 43,221.54 = 8,033 : x
  2. Step 2: Convert to fraction form
    28,809.50/43,221.54 = 8,033/x
  3. Step 3: Cross multiply
    28,809.50x = 43,221.54 × 8,033
  4. Step 4: Simplify right side
    28,809.50x = 347,198,630.82
  5. Step 5: Solve for x
    x = 347,198,630.82/28,809.50
  6. Step 6: Final answer
    x = 12,051.53

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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.