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Finding the Fourth Proportional to 31,299.50, 46,949.31 and 7,607.07

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Solution

The fourth proportional to 31,299.50, 46,949.31 and 7,607.07 is: 11,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.50 : 46,949.31 = 7,607.07 : x
  2. Step 2: Convert to fraction form
    31,299.50/46,949.31 = 7,607.07/x
  3. Step 3: Cross multiply
    31,299.50x = 46,949.31 × 7,607.07
  4. Step 4: Simplify right side
    31,299.50x = 357,146,687.62
  5. Step 5: Solve for x
    x = 357,146,687.62/31,299.50
  6. Step 6: Final answer
    x = 11,410.62

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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.