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Finding the Fourth Proportional to 73,294.12, 109,914.66 and 31,177

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Solution

The fourth proportional to 73,294.12, 109,914.66 and 31,177 is: 46,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294.12 : 109,914.66 = 31,177 : x
  2. Step 2: Convert to fraction form
    73,294.12/109,914.66 = 31,177/x
  3. Step 3: Cross multiply
    73,294.12x = 109,914.66 × 31,177
  4. Step 4: Simplify right side
    73,294.12x = 3,426,809,354.82
  5. Step 5: Solve for x
    x = 3,426,809,354.82/73,294.12
  6. Step 6: Final answer
    x = 46,754.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.