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Finding the Fourth Proportional to 31,315.99, 46,976.21 and 12,596.13

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Solution

The fourth proportional to 31,315.99, 46,976.21 and 12,596.13 is: 18,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.99 : 46,976.21 = 12,596.13 : x
  2. Step 2: Convert to fraction form
    31,315.99/46,976.21 = 12,596.13/x
  3. Step 3: Cross multiply
    31,315.99x = 46,976.21 × 12,596.13
  4. Step 4: Simplify right side
    31,315.99x = 591,718,448.07
  5. Step 5: Solve for x
    x = 591,718,448.07/31,315.99
  6. Step 6: Final answer
    x = 18,895.09

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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.