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Finding the Fourth Proportional to 31,322.48, 43,175.96 and 23,738.48

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Solution

The fourth proportional to 31,322.48, 43,175.96 and 23,738.48 is: 32,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.48 : 43,175.96 = 23,738.48 : x
  2. Step 2: Convert to fraction form
    31,322.48/43,175.96 = 23,738.48/x
  3. Step 3: Cross multiply
    31,322.48x = 43,175.96 × 23,738.48
  4. Step 4: Simplify right side
    31,322.48x = 1,024,931,662.94
  5. Step 5: Solve for x
    x = 1,024,931,662.94/31,322.48
  6. Step 6: Final answer
    x = 32,721.92

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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.