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Finding the Fourth Proportional to 113,771.84, 170,682 and 43,650.56

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Solution

The fourth proportional to 113,771.84, 170,682 and 43,650.56 is: 65,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,771.84 : 170,682 = 43,650.56 : x
  2. Step 2: Convert to fraction form
    113,771.84/170,682 = 43,650.56/x
  3. Step 3: Cross multiply
    113,771.84x = 170,682 × 43,650.56
  4. Step 4: Simplify right side
    113,771.84x = 7,450,364,881.92
  5. Step 5: Solve for x
    x = 7,450,364,881.92/113,771.84
  6. Step 6: Final answer
    x = 65,485.14

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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.