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Finding the Fourth Proportional to 32,134.30, 48,203.74 and 9,944.82

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Solution

The fourth proportional to 32,134.30, 48,203.74 and 9,944.82 is: 14,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.30 : 48,203.74 = 9,944.82 : x
  2. Step 2: Convert to fraction form
    32,134.30/48,203.74 = 9,944.82/x
  3. Step 3: Cross multiply
    32,134.30x = 48,203.74 × 9,944.82
  4. Step 4: Simplify right side
    32,134.30x = 479,377,530.06
  5. Step 5: Solve for x
    x = 479,377,530.06/32,134.30
  6. Step 6: Final answer
    x = 14,917.94

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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.