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Finding the Fourth Proportional to 29,137.38, 43,707 and 8,077.64

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Solution

The fourth proportional to 29,137.38, 43,707 and 8,077.64 is: 12,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.38 : 43,707 = 8,077.64 : x
  2. Step 2: Convert to fraction form
    29,137.38/43,707 = 8,077.64/x
  3. Step 3: Cross multiply
    29,137.38x = 43,707 × 8,077.64
  4. Step 4: Simplify right side
    29,137.38x = 353,049,411.48
  5. Step 5: Solve for x
    x = 353,049,411.48/29,137.38
  6. Step 6: Final answer
    x = 12,116.72

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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.