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Finding the Fourth Proportional to 31,322.70, 43,223.22 and 17,175.24

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Solution

The fourth proportional to 31,322.70, 43,223.22 and 17,175.24 is: 23,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.70 : 43,223.22 = 17,175.24 : x
  2. Step 2: Convert to fraction form
    31,322.70/43,223.22 = 17,175.24/x
  3. Step 3: Cross multiply
    31,322.70x = 43,223.22 × 17,175.24
  4. Step 4: Simplify right side
    31,322.70x = 742,369,177.07
  5. Step 5: Solve for x
    x = 742,369,177.07/31,322.70
  6. Step 6: Final answer
    x = 23,700.68

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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.