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Finding the Fourth Proportional to 31,549.54, 43,538.16 and 17,402.08

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Solution

The fourth proportional to 31,549.54, 43,538.16 and 17,402.08 is: 24,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.54 : 43,538.16 = 17,402.08 : x
  2. Step 2: Convert to fraction form
    31,549.54/43,538.16 = 17,402.08/x
  3. Step 3: Cross multiply
    31,549.54x = 43,538.16 × 17,402.08
  4. Step 4: Simplify right side
    31,549.54x = 757,654,543.37
  5. Step 5: Solve for x
    x = 757,654,543.37/31,549.54
  6. Step 6: Final answer
    x = 24,014.76

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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.