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Finding the Fourth Proportional to 31,553.68, 43,541.16 and 23,174.80

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Solution

The fourth proportional to 31,553.68, 43,541.16 and 23,174.80 is: 31,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.68 : 43,541.16 = 23,174.80 : x
  2. Step 2: Convert to fraction form
    31,553.68/43,541.16 = 23,174.80/x
  3. Step 3: Cross multiply
    31,553.68x = 43,541.16 × 23,174.80
  4. Step 4: Simplify right side
    31,553.68x = 1,009,057,674.77
  5. Step 5: Solve for x
    x = 1,009,057,674.77/31,553.68
  6. Step 6: Final answer
    x = 31,979.08

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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.