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Finding the Fourth Proportional to 31,483.80, 47,171.18 and 22,106.02

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Solution

The fourth proportional to 31,483.80, 47,171.18 and 22,106.02 is: 33,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.80 : 47,171.18 = 22,106.02 : x
  2. Step 2: Convert to fraction form
    31,483.80/47,171.18 = 22,106.02/x
  3. Step 3: Cross multiply
    31,483.80x = 47,171.18 × 22,106.02
  4. Step 4: Simplify right side
    31,483.80x = 1,042,767,048.50
  5. Step 5: Solve for x
    x = 1,042,767,048.50/31,483.80
  6. Step 6: Final answer
    x = 33,120.75

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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.