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Finding the Fourth Proportional to 82,003.80, 122,988.90 and 22,824.60

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Solution

The fourth proportional to 82,003.80, 122,988.90 and 22,824.60 is: 34,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.80 : 122,988.90 = 22,824.60 : x
  2. Step 2: Convert to fraction form
    82,003.80/122,988.90 = 22,824.60/x
  3. Step 3: Cross multiply
    82,003.80x = 122,988.90 × 22,824.60
  4. Step 4: Simplify right side
    82,003.80x = 2,807,172,446.94
  5. Step 5: Solve for x
    x = 2,807,172,446.94/82,003.80
  6. Step 6: Final answer
    x = 34,232.22

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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.