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Finding the Fourth Proportional to 113,768.84, 170,659.92 and 34,883.84

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Solution

The fourth proportional to 113,768.84, 170,659.92 and 34,883.84 is: 52,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,768.84 : 170,659.92 = 34,883.84 : x
  2. Step 2: Convert to fraction form
    113,768.84/170,659.92 = 34,883.84/x
  3. Step 3: Cross multiply
    113,768.84x = 170,659.92 × 34,883.84
  4. Step 4: Simplify right side
    113,768.84x = 5,953,273,343.69
  5. Step 5: Solve for x
    x = 5,953,273,343.69/113,768.84
  6. Step 6: Final answer
    x = 52,327.80

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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.