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Finding the Fourth Proportional to 33,970.32, 50,906.07 and 14,971.86

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Solution

The fourth proportional to 33,970.32, 50,906.07 and 14,971.86 is: 22,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.32 : 50,906.07 = 14,971.86 : x
  2. Step 2: Convert to fraction form
    33,970.32/50,906.07 = 14,971.86/x
  3. Step 3: Cross multiply
    33,970.32x = 50,906.07 × 14,971.86
  4. Step 4: Simplify right side
    33,970.32x = 762,158,553.19
  5. Step 5: Solve for x
    x = 762,158,553.19/33,970.32
  6. Step 6: Final answer
    x = 22,436.01

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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.