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Finding the Fourth Proportional to 31,085.93, 46,630.49 and 8,902.57

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Solution

The fourth proportional to 31,085.93, 46,630.49 and 8,902.57 is: 13,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.93 : 46,630.49 = 8,902.57 : x
  2. Step 2: Convert to fraction form
    31,085.93/46,630.49 = 8,902.57/x
  3. Step 3: Cross multiply
    31,085.93x = 46,630.49 × 8,902.57
  4. Step 4: Simplify right side
    31,085.93x = 415,131,193.28
  5. Step 5: Solve for x
    x = 415,131,193.28/31,085.93
  6. Step 6: Final answer
    x = 13,354.31

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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.