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Finding the Fourth Proportional to 82,775.80, 124,165.98 and 30,224.44

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Solution

The fourth proportional to 82,775.80, 124,165.98 and 30,224.44 is: 45,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,775.80 : 124,165.98 = 30,224.44 : x
  2. Step 2: Convert to fraction form
    82,775.80/124,165.98 = 30,224.44/x
  3. Step 3: Cross multiply
    82,775.80x = 124,165.98 × 30,224.44
  4. Step 4: Simplify right side
    82,775.80x = 3,752,847,212.55
  5. Step 5: Solve for x
    x = 3,752,847,212.55/82,775.80
  6. Step 6: Final answer
    x = 45,337.49

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1.5x scale

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.