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Finding the Fourth Proportional to 31,813.92, 47,729.52 and 9,628.02

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Solution

The fourth proportional to 31,813.92, 47,729.52 and 9,628.02 is: 14,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.92 : 47,729.52 = 9,628.02 : x
  2. Step 2: Convert to fraction form
    31,813.92/47,729.52 = 9,628.02/x
  3. Step 3: Cross multiply
    31,813.92x = 47,729.52 × 9,628.02
  4. Step 4: Simplify right side
    31,813.92x = 459,540,773.15
  5. Step 5: Solve for x
    x = 459,540,773.15/31,813.92
  6. Step 6: Final answer
    x = 14,444.64

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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.