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Finding the Fourth Proportional to 50,564.34, 75,846.51 and 47,447.86

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Solution

The fourth proportional to 50,564.34, 75,846.51 and 47,447.86 is: 71,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.34 : 75,846.51 = 47,447.86 : x
  2. Step 2: Convert to fraction form
    50,564.34/75,846.51 = 47,447.86/x
  3. Step 3: Cross multiply
    50,564.34x = 75,846.51 × 47,447.86
  4. Step 4: Simplify right side
    50,564.34x = 3,598,754,587.97
  5. Step 5: Solve for x
    x = 3,598,754,587.97/50,564.34
  6. Step 6: Final answer
    x = 71,171.79

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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.