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Finding the Fourth Proportional to 82,573.92, 113,999.28 and 54,361.64

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Solution

The fourth proportional to 82,573.92, 113,999.28 and 54,361.64 is: 75,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573.92 : 113,999.28 = 54,361.64 : x
  2. Step 2: Convert to fraction form
    82,573.92/113,999.28 = 54,361.64/x
  3. Step 3: Cross multiply
    82,573.92x = 113,999.28 × 54,361.64
  4. Step 4: Simplify right side
    82,573.92x = 6,197,187,819.62
  5. Step 5: Solve for x
    x = 6,197,187,819.62/82,573.92
  6. Step 6: Final answer
    x = 75,050.18

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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.