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Finding the Fourth Proportional to 32,000.30, 48,000.45 and 31,481.90

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Solution

The fourth proportional to 32,000.30, 48,000.45 and 31,481.90 is: 47,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.30 : 48,000.45 = 31,481.90 : x
  2. Step 2: Convert to fraction form
    32,000.30/48,000.45 = 31,481.90/x
  3. Step 3: Cross multiply
    32,000.30x = 48,000.45 × 31,481.90
  4. Step 4: Simplify right side
    32,000.30x = 1,511,145,366.86
  5. Step 5: Solve for x
    x = 1,511,145,366.86/32,000.30
  6. Step 6: Final answer
    x = 47,222.85

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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.