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Finding the Fourth Proportional to 47,322.92, 71,005.22 and 22,380.86

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Solution

The fourth proportional to 47,322.92, 71,005.22 and 22,380.86 is: 33,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322.92 : 71,005.22 = 22,380.86 : x
  2. Step 2: Convert to fraction form
    47,322.92/71,005.22 = 22,380.86/x
  3. Step 3: Cross multiply
    47,322.92x = 71,005.22 × 22,380.86
  4. Step 4: Simplify right side
    47,322.92x = 1,589,157,421.16
  5. Step 5: Solve for x
    x = 1,589,157,421.16/47,322.92
  6. Step 6: Final answer
    x = 33,581.14

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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.