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Finding the Fourth Proportional to 82,640.31, 114,043.08 and 44,914.56

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Solution

The fourth proportional to 82,640.31, 114,043.08 and 44,914.56 is: 61,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640.31 : 114,043.08 = 44,914.56 : x
  2. Step 2: Convert to fraction form
    82,640.31/114,043.08 = 44,914.56/x
  3. Step 3: Cross multiply
    82,640.31x = 114,043.08 × 44,914.56
  4. Step 4: Simplify right side
    82,640.31x = 5,122,194,759.24
  5. Step 5: Solve for x
    x = 5,122,194,759.24/82,640.31
  6. Step 6: Final answer
    x = 61,981.80

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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.