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Finding the Fourth Proportional to 33,715.49, 50,316.87 and 29,978.89

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Solution

The fourth proportional to 33,715.49, 50,316.87 and 29,978.89 is: 44,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715.49 : 50,316.87 = 29,978.89 : x
  2. Step 2: Convert to fraction form
    33,715.49/50,316.87 = 29,978.89/x
  3. Step 3: Cross multiply
    33,715.49x = 50,316.87 × 29,978.89
  4. Step 4: Simplify right side
    33,715.49x = 1,508,443,910.87
  5. Step 5: Solve for x
    x = 1,508,443,910.87/33,715.49
  6. Step 6: Final answer
    x = 44,740.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.