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Finding the Fourth Proportional to 117,438.60, 176,163.83 and 33,204.81

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Solution

The fourth proportional to 117,438.60, 176,163.83 and 33,204.81 is: 49,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,438.60 : 176,163.83 = 33,204.81 : x
  2. Step 2: Convert to fraction form
    117,438.60/176,163.83 = 33,204.81/x
  3. Step 3: Cross multiply
    117,438.60x = 176,163.83 × 33,204.81
  4. Step 4: Simplify right side
    117,438.60x = 5,849,486,338.00
  5. Step 5: Solve for x
    x = 5,849,486,338.00/117,438.60
  6. Step 6: Final answer
    x = 49,808.89

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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.