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Finding the Fourth Proportional to 29,116.40, 43,674.60 and 8,339.90

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Solution

The fourth proportional to 29,116.40, 43,674.60 and 8,339.90 is: 12,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116.40 : 43,674.60 = 8,339.90 : x
  2. Step 2: Convert to fraction form
    29,116.40/43,674.60 = 8,339.90/x
  3. Step 3: Cross multiply
    29,116.40x = 43,674.60 × 8,339.90
  4. Step 4: Simplify right side
    29,116.40x = 364,241,796.54
  5. Step 5: Solve for x
    x = 364,241,796.54/29,116.40
  6. Step 6: Final answer
    x = 12,509.85

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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.