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Finding the Fourth Proportional to 31,006.44, 46,509.70 and 7,632.88

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Solution

The fourth proportional to 31,006.44, 46,509.70 and 7,632.88 is: 11,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.44 : 46,509.70 = 7,632.88 : x
  2. Step 2: Convert to fraction form
    31,006.44/46,509.70 = 7,632.88/x
  3. Step 3: Cross multiply
    31,006.44x = 46,509.70 × 7,632.88
  4. Step 4: Simplify right side
    31,006.44x = 355,002,958.94
  5. Step 5: Solve for x
    x = 355,002,958.94/31,006.44
  6. Step 6: Final answer
    x = 11,449.33

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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.