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Finding the Fourth Proportional to 31,816.20, 47,712.15 and 9,622.20

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Solution

The fourth proportional to 31,816.20, 47,712.15 and 9,622.20 is: 14,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.20 : 47,712.15 = 9,622.20 : x
  2. Step 2: Convert to fraction form
    31,816.20/47,712.15 = 9,622.20/x
  3. Step 3: Cross multiply
    31,816.20x = 47,712.15 × 9,622.20
  4. Step 4: Simplify right side
    31,816.20x = 459,095,849.73
  5. Step 5: Solve for x
    x = 459,095,849.73/31,816.20
  6. Step 6: Final answer
    x = 14,429.63

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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.