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Finding the Fourth Proportional to 82,516.88, 113,860.94 and 48,522.80

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Solution

The fourth proportional to 82,516.88, 113,860.94 and 48,522.80 is: 66,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,516.88 : 113,860.94 = 48,522.80 : x
  2. Step 2: Convert to fraction form
    82,516.88/113,860.94 = 48,522.80/x
  3. Step 3: Cross multiply
    82,516.88x = 113,860.94 × 48,522.80
  4. Step 4: Simplify right side
    82,516.88x = 5,524,851,619.43
  5. Step 5: Solve for x
    x = 5,524,851,619.43/82,516.88
  6. Step 6: Final answer
    x = 66,954.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.