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Finding the Fourth Proportional to 50,494.84, 75,826.22 and 31,563.32

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Solution

The fourth proportional to 50,494.84, 75,826.22 and 31,563.32 is: 47,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.84 : 75,826.22 = 31,563.32 : x
  2. Step 2: Convert to fraction form
    50,494.84/75,826.22 = 31,563.32/x
  3. Step 3: Cross multiply
    50,494.84x = 75,826.22 × 31,563.32
  4. Step 4: Simplify right side
    50,494.84x = 2,393,327,246.25
  5. Step 5: Solve for x
    x = 2,393,327,246.25/50,494.84
  6. Step 6: Final answer
    x = 47,397.46

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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.