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Finding the Fourth Proportional to 115,770.79, 173,654.06 and 31,529.68

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Solution

The fourth proportional to 115,770.79, 173,654.06 and 31,529.68 is: 47,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.79 : 173,654.06 = 31,529.68 : x
  2. Step 2: Convert to fraction form
    115,770.79/173,654.06 = 31,529.68/x
  3. Step 3: Cross multiply
    115,770.79x = 173,654.06 × 31,529.68
  4. Step 4: Simplify right side
    115,770.79x = 5,475,256,942.50
  5. Step 5: Solve for x
    x = 5,475,256,942.50/115,770.79
  6. Step 6: Final answer
    x = 47,293.94

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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.