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Finding the Fourth Proportional to 30,449.92, 42,021.12 and 17,874.88

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Solution

The fourth proportional to 30,449.92, 42,021.12 and 17,874.88 is: 24,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.92 : 42,021.12 = 17,874.88 : x
  2. Step 2: Convert to fraction form
    30,449.92/42,021.12 = 17,874.88/x
  3. Step 3: Cross multiply
    30,449.92x = 42,021.12 × 17,874.88
  4. Step 4: Simplify right side
    30,449.92x = 751,122,477.47
  5. Step 5: Solve for x
    x = 751,122,477.47/30,449.92
  6. Step 6: Final answer
    x = 24,667.47

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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.