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Finding the Fourth Proportional to 31,089.75, 46,633.37 and 8,902.23

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Solution

The fourth proportional to 31,089.75, 46,633.37 and 8,902.23 is: 13,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.75 : 46,633.37 = 8,902.23 : x
  2. Step 2: Convert to fraction form
    31,089.75/46,633.37 = 8,902.23/x
  3. Step 3: Cross multiply
    31,089.75x = 46,633.37 × 8,902.23
  4. Step 4: Simplify right side
    31,089.75x = 415,140,940.90
  5. Step 5: Solve for x
    x = 415,140,940.90/31,089.75
  6. Step 6: Final answer
    x = 13,352.98

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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.