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Finding the Fourth Proportional to 30,394.34, 41,944.85 and 16,782.34

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Solution

The fourth proportional to 30,394.34, 41,944.85 and 16,782.34 is: 23,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.34 : 41,944.85 = 16,782.34 : x
  2. Step 2: Convert to fraction form
    30,394.34/41,944.85 = 16,782.34/x
  3. Step 3: Cross multiply
    30,394.34x = 41,944.85 × 16,782.34
  4. Step 4: Simplify right side
    30,394.34x = 703,932,781.16
  5. Step 5: Solve for x
    x = 703,932,781.16/30,394.34
  6. Step 6: Final answer
    x = 23,159.99

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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.