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Finding the Fourth Proportional to 33,972.50, 50,927.32 and 12,906.23

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Solution

The fourth proportional to 33,972.50, 50,927.32 and 12,906.23 is: 19,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972.50 : 50,927.32 = 12,906.23 : x
  2. Step 2: Convert to fraction form
    33,972.50/50,927.32 = 12,906.23/x
  3. Step 3: Cross multiply
    33,972.50x = 50,927.32 × 12,906.23
  4. Step 4: Simplify right side
    33,972.50x = 657,279,386.04
  5. Step 5: Solve for x
    x = 657,279,386.04/33,972.50
  6. Step 6: Final answer
    x = 19,347.40

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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.