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Finding the Fourth Proportional to 35,314.75, 48,738.68 and 20,410.75

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Solution

The fourth proportional to 35,314.75, 48,738.68 and 20,410.75 is: 28,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314.75 : 48,738.68 = 20,410.75 : x
  2. Step 2: Convert to fraction form
    35,314.75/48,738.68 = 20,410.75/x
  3. Step 3: Cross multiply
    35,314.75x = 48,738.68 × 20,410.75
  4. Step 4: Simplify right side
    35,314.75x = 994,793,012.81
  5. Step 5: Solve for x
    x = 994,793,012.81/35,314.75
  6. Step 6: Final answer
    x = 28,169.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.