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Finding the Fourth Proportional to 31,306.50, 46,959.75 and 10,530

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Solution

The fourth proportional to 31,306.50, 46,959.75 and 10,530 is: 15,795

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.50 : 46,959.75 = 10,530 : x
  2. Step 2: Convert to fraction form
    31,306.50/46,959.75 = 10,530/x
  3. Step 3: Cross multiply
    31,306.50x = 46,959.75 × 10,530
  4. Step 4: Simplify right side
    31,306.50x = 494,486,167.50
  5. Step 5: Solve for x
    x = 494,486,167.50/31,306.50
  6. Step 6: Final answer
    x = 15,795

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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.