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Finding the Fourth Proportional to 23,057.52, 31,832.94 and 21,728.94

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Solution

The fourth proportional to 23,057.52, 31,832.94 and 21,728.94 is: 29,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.52 : 31,832.94 = 21,728.94 : x
  2. Step 2: Convert to fraction form
    23,057.52/31,832.94 = 21,728.94/x
  3. Step 3: Cross multiply
    23,057.52x = 31,832.94 × 21,728.94
  4. Step 4: Simplify right side
    23,057.52x = 691,696,043.28
  5. Step 5: Solve for x
    x = 691,696,043.28/23,057.52
  6. Step 6: Final answer
    x = 29,998.72

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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.