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Finding the Fourth Proportional to 29,137.13, 43,706.63 and 8,077.39

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Solution

The fourth proportional to 29,137.13, 43,706.63 and 8,077.39 is: 12,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.13 : 43,706.63 = 8,077.39 : x
  2. Step 2: Convert to fraction form
    29,137.13/43,706.63 = 8,077.39/x
  3. Step 3: Cross multiply
    29,137.13x = 43,706.63 × 8,077.39
  4. Step 4: Simplify right side
    29,137.13x = 353,035,346.44
  5. Step 5: Solve for x
    x = 353,035,346.44/29,137.13
  6. Step 6: Final answer
    x = 12,116.34

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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.