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Finding the Fourth Proportional to 31,424.60, 47,152.25 and 14,786.27

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Solution

The fourth proportional to 31,424.60, 47,152.25 and 14,786.27 is: 22,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.60 : 47,152.25 = 14,786.27 : x
  2. Step 2: Convert to fraction form
    31,424.60/47,152.25 = 14,786.27/x
  3. Step 3: Cross multiply
    31,424.60x = 47,152.25 × 14,786.27
  4. Step 4: Simplify right side
    31,424.60x = 697,205,589.91
  5. Step 5: Solve for x
    x = 697,205,589.91/31,424.60
  6. Step 6: Final answer
    x = 22,186.62

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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.