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Finding the Fourth Proportional to 50,999.05, 70,382.01 and 30,856.78

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Solution

The fourth proportional to 50,999.05, 70,382.01 and 30,856.78 is: 42,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,999.05 : 70,382.01 = 30,856.78 : x
  2. Step 2: Convert to fraction form
    50,999.05/70,382.01 = 30,856.78/x
  3. Step 3: Cross multiply
    50,999.05x = 70,382.01 × 30,856.78
  4. Step 4: Simplify right side
    50,999.05x = 2,171,762,402.22
  5. Step 5: Solve for x
    x = 2,171,762,402.22/50,999.05
  6. Step 6: Final answer
    x = 42,584.37

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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.