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Finding the Fourth Proportional to 31,486.35, 47,201.58 and 12,780.21

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Solution

The fourth proportional to 31,486.35, 47,201.58 and 12,780.21 is: 19,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.35 : 47,201.58 = 12,780.21 : x
  2. Step 2: Convert to fraction form
    31,486.35/47,201.58 = 12,780.21/x
  3. Step 3: Cross multiply
    31,486.35x = 47,201.58 × 12,780.21
  4. Step 4: Simplify right side
    31,486.35x = 603,246,104.73
  5. Step 5: Solve for x
    x = 603,246,104.73/31,486.35
  6. Step 6: Final answer
    x = 19,158.97

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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.