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Finding the Fourth Proportional to 33,471.78, 50,206.16 and 14,746.82

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Solution

The fourth proportional to 33,471.78, 50,206.16 and 14,746.82 is: 22,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.78 : 50,206.16 = 14,746.82 : x
  2. Step 2: Convert to fraction form
    33,471.78/50,206.16 = 14,746.82/x
  3. Step 3: Cross multiply
    33,471.78x = 50,206.16 × 14,746.82
  4. Step 4: Simplify right side
    33,471.78x = 740,381,204.41
  5. Step 5: Solve for x
    x = 740,381,204.41/33,471.78
  6. Step 6: Final answer
    x = 22,119.56

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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.