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Finding the Fourth Proportional to 33,094.27, 49,666.02 and 13,373

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Solution

The fourth proportional to 33,094.27, 49,666.02 and 13,373 is: 20,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094.27 : 49,666.02 = 13,373 : x
  2. Step 2: Convert to fraction form
    33,094.27/49,666.02 = 13,373/x
  3. Step 3: Cross multiply
    33,094.27x = 49,666.02 × 13,373
  4. Step 4: Simplify right side
    33,094.27x = 664,183,685.46
  5. Step 5: Solve for x
    x = 664,183,685.46/33,094.27
  6. Step 6: Final answer
    x = 20,069.45

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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.