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Finding the Fourth Proportional to 31,374.41, 47,070.83 and 12,644.84

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Solution

The fourth proportional to 31,374.41, 47,070.83 and 12,644.84 is: 18,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.41 : 47,070.83 = 12,644.84 : x
  2. Step 2: Convert to fraction form
    31,374.41/47,070.83 = 12,644.84/x
  3. Step 3: Cross multiply
    31,374.41x = 47,070.83 × 12,644.84
  4. Step 4: Simplify right side
    31,374.41x = 595,202,910.28
  5. Step 5: Solve for x
    x = 595,202,910.28/31,374.41
  6. Step 6: Final answer
    x = 18,970.97

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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.