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Finding the Fourth Proportional to 31,590.68, 47,346.22 and 27,632.52

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Solution

The fourth proportional to 31,590.68, 47,346.22 and 27,632.52 is: 41,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.68 : 47,346.22 = 27,632.52 : x
  2. Step 2: Convert to fraction form
    31,590.68/47,346.22 = 27,632.52/x
  3. Step 3: Cross multiply
    31,590.68x = 47,346.22 × 27,632.52
  4. Step 4: Simplify right side
    31,590.68x = 1,308,295,371.07
  5. Step 5: Solve for x
    x = 1,308,295,371.07/31,590.68
  6. Step 6: Final answer
    x = 41,413.97

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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.