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Finding the Fourth Proportional to 33,331.84, 50,011.76 and 14,602.24

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Solution

The fourth proportional to 33,331.84, 50,011.76 and 14,602.24 is: 21,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,331.84 : 50,011.76 = 14,602.24 : x
  2. Step 2: Convert to fraction form
    33,331.84/50,011.76 = 14,602.24/x
  3. Step 3: Cross multiply
    33,331.84x = 50,011.76 × 14,602.24
  4. Step 4: Simplify right side
    33,331.84x = 730,283,722.34
  5. Step 5: Solve for x
    x = 730,283,722.34/33,331.84
  6. Step 6: Final answer
    x = 21,909.49

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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.