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Finding the Fourth Proportional to 82,914.80, 124,372.20 and 20,585.30

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Solution

The fourth proportional to 82,914.80, 124,372.20 and 20,585.30 is: 30,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.80 : 124,372.20 = 20,585.30 : x
  2. Step 2: Convert to fraction form
    82,914.80/124,372.20 = 20,585.30/x
  3. Step 3: Cross multiply
    82,914.80x = 124,372.20 × 20,585.30
  4. Step 4: Simplify right side
    82,914.80x = 2,560,239,048.66
  5. Step 5: Solve for x
    x = 2,560,239,048.66/82,914.80
  6. Step 6: Final answer
    x = 30,877.95

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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.