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Finding the Fourth Proportional to 31,321.98, 46,990.62 and 9,135.60

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Solution

The fourth proportional to 31,321.98, 46,990.62 and 9,135.60 is: 13,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321.98 : 46,990.62 = 9,135.60 : x
  2. Step 2: Convert to fraction form
    31,321.98/46,990.62 = 9,135.60/x
  3. Step 3: Cross multiply
    31,321.98x = 46,990.62 × 9,135.60
  4. Step 4: Simplify right side
    31,321.98x = 429,287,508.07
  5. Step 5: Solve for x
    x = 429,287,508.07/31,321.98
  6. Step 6: Final answer
    x = 13,705.63

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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.