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Finding the Fourth Proportional to 31,691.18, 47,513.18 and 19,208.12

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Solution

The fourth proportional to 31,691.18, 47,513.18 and 19,208.12 is: 28,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.18 : 47,513.18 = 19,208.12 : x
  2. Step 2: Convert to fraction form
    31,691.18/47,513.18 = 19,208.12/x
  3. Step 3: Cross multiply
    31,691.18x = 47,513.18 × 19,208.12
  4. Step 4: Simplify right side
    31,691.18x = 912,638,863.02
  5. Step 5: Solve for x
    x = 912,638,863.02/31,691.18
  6. Step 6: Final answer
    x = 28,797.88

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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.