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Finding the Fourth Proportional to 47,285.82, 70,928.82 and 32,449.86

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Solution

The fourth proportional to 47,285.82, 70,928.82 and 32,449.86 is: 48,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,285.82 : 70,928.82 = 32,449.86 : x
  2. Step 2: Convert to fraction form
    47,285.82/70,928.82 = 32,449.86/x
  3. Step 3: Cross multiply
    47,285.82x = 70,928.82 × 32,449.86
  4. Step 4: Simplify right side
    47,285.82x = 2,301,630,278.97
  5. Step 5: Solve for x
    x = 2,301,630,278.97/47,285.82
  6. Step 6: Final answer
    x = 48,674.85

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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.