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Finding the Fourth Proportional to 82,599.22, 113,977.24 and 48,600.24

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Solution

The fourth proportional to 82,599.22, 113,977.24 and 48,600.24 is: 67,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,599.22 : 113,977.24 = 48,600.24 : x
  2. Step 2: Convert to fraction form
    82,599.22/113,977.24 = 48,600.24/x
  3. Step 3: Cross multiply
    82,599.22x = 113,977.24 × 48,600.24
  4. Step 4: Simplify right side
    82,599.22x = 5,539,321,218.54
  5. Step 5: Solve for x
    x = 5,539,321,218.54/82,599.22
  6. Step 6: Final answer
    x = 67,062.63

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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.