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Finding the Fourth Proportional to 31,000.50, 46,500.75 and 10,225.62

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Solution

The fourth proportional to 31,000.50, 46,500.75 and 10,225.62 is: 15,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.50 : 46,500.75 = 10,225.62 : x
  2. Step 2: Convert to fraction form
    31,000.50/46,500.75 = 10,225.62/x
  3. Step 3: Cross multiply
    31,000.50x = 46,500.75 × 10,225.62
  4. Step 4: Simplify right side
    31,000.50x = 475,498,999.22
  5. Step 5: Solve for x
    x = 475,498,999.22/31,000.50
  6. Step 6: Final answer
    x = 15,338.43

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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.