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Finding the Fourth Proportional to 29,516.57, 40,697.40 and 24,119.06

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Solution

The fourth proportional to 29,516.57, 40,697.40 and 24,119.06 is: 33,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.57 : 40,697.40 = 24,119.06 : x
  2. Step 2: Convert to fraction form
    29,516.57/40,697.40 = 24,119.06/x
  3. Step 3: Cross multiply
    29,516.57x = 40,697.40 × 24,119.06
  4. Step 4: Simplify right side
    29,516.57x = 981,583,032.44
  5. Step 5: Solve for x
    x = 981,583,032.44/29,516.57
  6. Step 6: Final answer
    x = 33,255.32

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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.