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Finding the Fourth Proportional to 50,056.92, 69,078.51 and 31,194

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Solution

The fourth proportional to 50,056.92, 69,078.51 and 31,194 is: 43,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,056.92 : 69,078.51 = 31,194 : x
  2. Step 2: Convert to fraction form
    50,056.92/69,078.51 = 31,194/x
  3. Step 3: Cross multiply
    50,056.92x = 69,078.51 × 31,194
  4. Step 4: Simplify right side
    50,056.92x = 2,154,835,040.94
  5. Step 5: Solve for x
    x = 2,154,835,040.94/50,056.92
  6. Step 6: Final answer
    x = 43,047.70

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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.