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Finding the Fourth Proportional to 31,384.64, 43,313.46 and 17,240.42

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Solution

The fourth proportional to 31,384.64, 43,313.46 and 17,240.42 is: 23,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.64 : 43,313.46 = 17,240.42 : x
  2. Step 2: Convert to fraction form
    31,384.64/43,313.46 = 17,240.42/x
  3. Step 3: Cross multiply
    31,384.64x = 43,313.46 × 17,240.42
  4. Step 4: Simplify right side
    31,384.64x = 746,742,242.05
  5. Step 5: Solve for x
    x = 746,742,242.05/31,384.64
  6. Step 6: Final answer
    x = 23,793.24

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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.