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Finding the Fourth Proportional to 30,224.32, 45,310.48 and 11,493.92

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Solution

The fourth proportional to 30,224.32, 45,310.48 and 11,493.92 is: 17,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.32 : 45,310.48 = 11,493.92 : x
  2. Step 2: Convert to fraction form
    30,224.32/45,310.48 = 11,493.92/x
  3. Step 3: Cross multiply
    30,224.32x = 45,310.48 × 11,493.92
  4. Step 4: Simplify right side
    30,224.32x = 520,795,032.28
  5. Step 5: Solve for x
    x = 520,795,032.28/30,224.32
  6. Step 6: Final answer
    x = 17,230.99

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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.