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Finding the Fourth Proportional to 31,295.93, 46,911.09 and 11,561.90

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Solution

The fourth proportional to 31,295.93, 46,911.09 and 11,561.90 is: 17,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.93 : 46,911.09 = 11,561.90 : x
  2. Step 2: Convert to fraction form
    31,295.93/46,911.09 = 11,561.90/x
  3. Step 3: Cross multiply
    31,295.93x = 46,911.09 × 11,561.90
  4. Step 4: Simplify right side
    31,295.93x = 542,381,331.47
  5. Step 5: Solve for x
    x = 542,381,331.47/31,295.93
  6. Step 6: Final answer
    x = 17,330.73

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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.