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Finding the Fourth Proportional to 77,246.48, 106,609.10 and 47,049.52

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Solution

The fourth proportional to 77,246.48, 106,609.10 and 47,049.52 is: 64,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,246.48 : 106,609.10 = 47,049.52 : x
  2. Step 2: Convert to fraction form
    77,246.48/106,609.10 = 47,049.52/x
  3. Step 3: Cross multiply
    77,246.48x = 106,609.10 × 47,049.52
  4. Step 4: Simplify right side
    77,246.48x = 5,015,906,982.63
  5. Step 5: Solve for x
    x = 5,015,906,982.63/77,246.48
  6. Step 6: Final answer
    x = 64,933.79

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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.