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Finding the Fourth Proportional to 31,759.08, 47,645 and 10,698.28

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Solution

The fourth proportional to 31,759.08, 47,645 and 10,698.28 is: 16,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.08 : 47,645 = 10,698.28 : x
  2. Step 2: Convert to fraction form
    31,759.08/47,645 = 10,698.28/x
  3. Step 3: Cross multiply
    31,759.08x = 47,645 × 10,698.28
  4. Step 4: Simplify right side
    31,759.08x = 509,719,550.60
  5. Step 5: Solve for x
    x = 509,719,550.60/31,759.08
  6. Step 6: Final answer
    x = 16,049.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.