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Finding the Fourth Proportional to 31,181.50, 46,772.66 and 10,405

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Solution

The fourth proportional to 31,181.50, 46,772.66 and 10,405 is: 15,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.50 : 46,772.66 = 10,405 : x
  2. Step 2: Convert to fraction form
    31,181.50/46,772.66 = 10,405/x
  3. Step 3: Cross multiply
    31,181.50x = 46,772.66 × 10,405
  4. Step 4: Simplify right side
    31,181.50x = 486,669,527.30
  5. Step 5: Solve for x
    x = 486,669,527.30/31,181.50
  6. Step 6: Final answer
    x = 15,607.64

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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.