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Finding the Fourth Proportional to 29,200.26, 43,801.80 and 8,140.26

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Solution

The fourth proportional to 29,200.26, 43,801.80 and 8,140.26 is: 12,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200.26 : 43,801.80 = 8,140.26 : x
  2. Step 2: Convert to fraction form
    29,200.26/43,801.80 = 8,140.26/x
  3. Step 3: Cross multiply
    29,200.26x = 43,801.80 × 8,140.26
  4. Step 4: Simplify right side
    29,200.26x = 356,558,040.47
  5. Step 5: Solve for x
    x = 356,558,040.47/29,200.26
  6. Step 6: Final answer
    x = 12,210.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.