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Finding the Fourth Proportional to 29,533.80, 40,756 and 16,105.20

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Solution

The fourth proportional to 29,533.80, 40,756 and 16,105.20 is: 22,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.80 : 40,756 = 16,105.20 : x
  2. Step 2: Convert to fraction form
    29,533.80/40,756 = 16,105.20/x
  3. Step 3: Cross multiply
    29,533.80x = 40,756 × 16,105.20
  4. Step 4: Simplify right side
    29,533.80x = 656,383,531.20
  5. Step 5: Solve for x
    x = 656,383,531.20/29,533.80
  6. Step 6: Final answer
    x = 22,224.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.