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Finding the Fourth Proportional to 50,173.32, 69,182.43 and 31,999.74

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Solution

The fourth proportional to 50,173.32, 69,182.43 and 31,999.74 is: 44,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,173.32 : 69,182.43 = 31,999.74 : x
  2. Step 2: Convert to fraction form
    50,173.32/69,182.43 = 31,999.74/x
  3. Step 3: Cross multiply
    50,173.32x = 69,182.43 × 31,999.74
  4. Step 4: Simplify right side
    50,173.32x = 2,213,819,573.13
  5. Step 5: Solve for x
    x = 2,213,819,573.13/50,173.32
  6. Step 6: Final answer
    x = 44,123.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.