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Finding the Fourth Proportional to 50,447.70, 75,669.93 and 20,856.78

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Solution

The fourth proportional to 50,447.70, 75,669.93 and 20,856.78 is: 31,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447.70 : 75,669.93 = 20,856.78 : x
  2. Step 2: Convert to fraction form
    50,447.70/75,669.93 = 20,856.78/x
  3. Step 3: Cross multiply
    50,447.70x = 75,669.93 × 20,856.78
  4. Step 4: Simplify right side
    50,447.70x = 1,578,231,082.63
  5. Step 5: Solve for x
    x = 1,578,231,082.63/50,447.70
  6. Step 6: Final answer
    x = 31,284.50

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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.