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Finding the Fourth Proportional to 33,630.99, 50,434.07 and 14,653.28

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Solution

The fourth proportional to 33,630.99, 50,434.07 and 14,653.28 is: 21,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,630.99 : 50,434.07 = 14,653.28 : x
  2. Step 2: Convert to fraction form
    33,630.99/50,434.07 = 14,653.28/x
  3. Step 3: Cross multiply
    33,630.99x = 50,434.07 × 14,653.28
  4. Step 4: Simplify right side
    33,630.99x = 739,024,223.81
  5. Step 5: Solve for x
    x = 739,024,223.81/33,630.99
  6. Step 6: Final answer
    x = 21,974.50

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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.