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Finding the Fourth Proportional to 31,297.38, 46,941.03 and 13,763.94

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Solution

The fourth proportional to 31,297.38, 46,941.03 and 13,763.94 is: 20,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.38 : 46,941.03 = 13,763.94 : x
  2. Step 2: Convert to fraction form
    31,297.38/46,941.03 = 13,763.94/x
  3. Step 3: Cross multiply
    31,297.38x = 46,941.03 × 13,763.94
  4. Step 4: Simplify right side
    31,297.38x = 646,093,520.46
  5. Step 5: Solve for x
    x = 646,093,520.46/31,297.38
  6. Step 6: Final answer
    x = 20,643.69

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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.