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Finding the Fourth Proportional to 31,468.98, 47,175.50 and 11,734.14

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Solution

The fourth proportional to 31,468.98, 47,175.50 and 11,734.14 is: 17,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.98 : 47,175.50 = 11,734.14 : x
  2. Step 2: Convert to fraction form
    31,468.98/47,175.50 = 11,734.14/x
  3. Step 3: Cross multiply
    31,468.98x = 47,175.50 × 11,734.14
  4. Step 4: Simplify right side
    31,468.98x = 553,563,921.57
  5. Step 5: Solve for x
    x = 553,563,921.57/31,468.98
  6. Step 6: Final answer
    x = 17,590.78

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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.