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Finding the Fourth Proportional to 31,036.14, 46,553.67 and 7,662.60

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Solution

The fourth proportional to 31,036.14, 46,553.67 and 7,662.60 is: 11,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.14 : 46,553.67 = 7,662.60 : x
  2. Step 2: Convert to fraction form
    31,036.14/46,553.67 = 7,662.60/x
  3. Step 3: Cross multiply
    31,036.14x = 46,553.67 × 7,662.60
  4. Step 4: Simplify right side
    31,036.14x = 356,722,151.74
  5. Step 5: Solve for x
    x = 356,722,151.74/31,036.14
  6. Step 6: Final answer
    x = 11,493.77

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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.