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Finding the Fourth Proportional to 82,963.12, 124,463.12 and 23,794.24

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Solution

The fourth proportional to 82,963.12, 124,463.12 and 23,794.24 is: 35,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.12 : 124,463.12 = 23,794.24 : x
  2. Step 2: Convert to fraction form
    82,963.12/124,463.12 = 23,794.24/x
  3. Step 3: Cross multiply
    82,963.12x = 124,463.12 × 23,794.24
  4. Step 4: Simplify right side
    82,963.12x = 2,961,505,348.43
  5. Step 5: Solve for x
    x = 2,961,505,348.43/82,963.12
  6. Step 6: Final answer
    x = 35,696.65

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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.