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Finding the Fourth Proportional to 31,804.92, 47,716.02 and 9,619.02

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Solution

The fourth proportional to 31,804.92, 47,716.02 and 9,619.02 is: 14,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.92 : 47,716.02 = 9,619.02 : x
  2. Step 2: Convert to fraction form
    31,804.92/47,716.02 = 9,619.02/x
  3. Step 3: Cross multiply
    31,804.92x = 47,716.02 × 9,619.02
  4. Step 4: Simplify right side
    31,804.92x = 458,981,350.70
  5. Step 5: Solve for x
    x = 458,981,350.70/31,804.92
  6. Step 6: Final answer
    x = 14,431.14

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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.