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Finding the Fourth Proportional to 83,644.56, 115,401.38 and 53,447.56

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Solution

The fourth proportional to 83,644.56, 115,401.38 and 53,447.56 is: 73,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,644.56 : 115,401.38 = 53,447.56 : x
  2. Step 2: Convert to fraction form
    83,644.56/115,401.38 = 53,447.56/x
  3. Step 3: Cross multiply
    83,644.56x = 115,401.38 × 53,447.56
  4. Step 4: Simplify right side
    83,644.56x = 6,167,922,181.63
  5. Step 5: Solve for x
    x = 6,167,922,181.63/83,644.56
  6. Step 6: Final answer
    x = 73,739.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.