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Finding the Fourth Proportional to 32,765.92, 45,171.16 and 27,709.81

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Solution

The fourth proportional to 32,765.92, 45,171.16 and 27,709.81 is: 38,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.92 : 45,171.16 = 27,709.81 : x
  2. Step 2: Convert to fraction form
    32,765.92/45,171.16 = 27,709.81/x
  3. Step 3: Cross multiply
    32,765.92x = 45,171.16 × 27,709.81
  4. Step 4: Simplify right side
    32,765.92x = 1,251,684,261.08
  5. Step 5: Solve for x
    x = 1,251,684,261.08/32,765.92
  6. Step 6: Final answer
    x = 38,200.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.