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Finding the Fourth Proportional to 118,094.96, 177,089.14 and 33,835.84

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Solution

The fourth proportional to 118,094.96, 177,089.14 and 33,835.84 is: 50,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,094.96 : 177,089.14 = 33,835.84 : x
  2. Step 2: Convert to fraction form
    118,094.96/177,089.14 = 33,835.84/x
  3. Step 3: Cross multiply
    118,094.96x = 177,089.14 × 33,835.84
  4. Step 4: Simplify right side
    118,094.96x = 5,991,960,212.15
  5. Step 5: Solve for x
    x = 5,991,960,212.15/118,094.96
  6. Step 6: Final answer
    x = 50,738.49

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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.