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Finding the Fourth Proportional to 31,792.53, 47,688.77 and 8,418.99

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Solution

The fourth proportional to 31,792.53, 47,688.77 and 8,418.99 is: 12,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.53 : 47,688.77 = 8,418.99 : x
  2. Step 2: Convert to fraction form
    31,792.53/47,688.77 = 8,418.99/x
  3. Step 3: Cross multiply
    31,792.53x = 47,688.77 × 8,418.99
  4. Step 4: Simplify right side
    31,792.53x = 401,491,235.65
  5. Step 5: Solve for x
    x = 401,491,235.65/31,792.53
  6. Step 6: Final answer
    x = 12,628.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.