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Finding the Fourth Proportional to 82,774.80, 124,164.48 and 30,223.44

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Solution

The fourth proportional to 82,774.80, 124,164.48 and 30,223.44 is: 45,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.80 : 124,164.48 = 30,223.44 : x
  2. Step 2: Convert to fraction form
    82,774.80/124,164.48 = 30,223.44/x
  3. Step 3: Cross multiply
    82,774.80x = 124,164.48 × 30,223.44
  4. Step 4: Simplify right side
    82,774.80x = 3,752,677,711.41
  5. Step 5: Solve for x
    x = 3,752,677,711.41/82,774.80
  6. Step 6: Final answer
    x = 45,335.99

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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.