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Finding the Fourth Proportional to 31,540.68, 47,311.02 and 17,699.40

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Solution

The fourth proportional to 31,540.68, 47,311.02 and 17,699.40 is: 26,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,540.68 : 47,311.02 = 17,699.40 : x
  2. Step 2: Convert to fraction form
    31,540.68/47,311.02 = 17,699.40/x
  3. Step 3: Cross multiply
    31,540.68x = 47,311.02 × 17,699.40
  4. Step 4: Simplify right side
    31,540.68x = 837,376,667.39
  5. Step 5: Solve for x
    x = 837,376,667.39/31,540.68
  6. Step 6: Final answer
    x = 26,549.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.