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Finding the Fourth Proportional to 31,834.80, 47,800.80 and 22,017.60

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Solution

The fourth proportional to 31,834.80, 47,800.80 and 22,017.60 is: 33,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.80 : 47,800.80 = 22,017.60 : x
  2. Step 2: Convert to fraction form
    31,834.80/47,800.80 = 22,017.60/x
  3. Step 3: Cross multiply
    31,834.80x = 47,800.80 × 22,017.60
  4. Step 4: Simplify right side
    31,834.80x = 1,052,458,894.08
  5. Step 5: Solve for x
    x = 1,052,458,894.08/31,834.80
  6. Step 6: Final answer
    x = 33,060.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.