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Finding the Fourth Proportional to 50,194, 69,266.67 and 31,068.70

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Solution

The fourth proportional to 50,194, 69,266.67 and 31,068.70 is: 42,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,194 : 69,266.67 = 31,068.70 : x
  2. Step 2: Convert to fraction form
    50,194/69,266.67 = 31,068.70/x
  3. Step 3: Cross multiply
    50,194x = 69,266.67 × 31,068.70
  4. Step 4: Simplify right side
    50,194x = 2,152,025,390.23
  5. Step 5: Solve for x
    x = 2,152,025,390.23/50,194
  6. Step 6: Final answer
    x = 42,874.16

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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.