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Finding the Fourth Proportional to 29,137.96, 43,695.84 and 10,414.54

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Solution

The fourth proportional to 29,137.96, 43,695.84 and 10,414.54 is: 15,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.96 : 43,695.84 = 10,414.54 : x
  2. Step 2: Convert to fraction form
    29,137.96/43,695.84 = 10,414.54/x
  3. Step 3: Cross multiply
    29,137.96x = 43,695.84 × 10,414.54
  4. Step 4: Simplify right side
    29,137.96x = 455,072,073.51
  5. Step 5: Solve for x
    x = 455,072,073.51/29,137.96
  6. Step 6: Final answer
    x = 15,617.84

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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.