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Finding the Fourth Proportional to 47,321.32, 70,971 and 14,033.32

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Solution

The fourth proportional to 47,321.32, 70,971 and 14,033.32 is: 21,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.32 : 70,971 = 14,033.32 : x
  2. Step 2: Convert to fraction form
    47,321.32/70,971 = 14,033.32/x
  3. Step 3: Cross multiply
    47,321.32x = 70,971 × 14,033.32
  4. Step 4: Simplify right side
    47,321.32x = 995,958,753.72
  5. Step 5: Solve for x
    x = 995,958,753.72/47,321.32
  6. Step 6: Final answer
    x = 21,046.72

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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.