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Finding the Fourth Proportional to 29,542.80, 40,784.10 and 22,813.32

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Solution

The fourth proportional to 29,542.80, 40,784.10 and 22,813.32 is: 31,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.80 : 40,784.10 = 22,813.32 : x
  2. Step 2: Convert to fraction form
    29,542.80/40,784.10 = 22,813.32/x
  3. Step 3: Cross multiply
    29,542.80x = 40,784.10 × 22,813.32
  4. Step 4: Simplify right side
    29,542.80x = 930,420,724.21
  5. Step 5: Solve for x
    x = 930,420,724.21/29,542.80
  6. Step 6: Final answer
    x = 31,493.99

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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.