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Finding the Fourth Proportional to 29,383.50, 44,077.56 and 8,323.20

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Solution

The fourth proportional to 29,383.50, 44,077.56 and 8,323.20 is: 12,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383.50 : 44,077.56 = 8,323.20 : x
  2. Step 2: Convert to fraction form
    29,383.50/44,077.56 = 8,323.20/x
  3. Step 3: Cross multiply
    29,383.50x = 44,077.56 × 8,323.20
  4. Step 4: Simplify right side
    29,383.50x = 366,866,347.39
  5. Step 5: Solve for x
    x = 366,866,347.39/29,383.50
  6. Step 6: Final answer
    x = 12,485.45

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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.