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Finding the Fourth Proportional to 73,257.73, 109,864.72 and 31,137.63

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Solution

The fourth proportional to 73,257.73, 109,864.72 and 31,137.63 is: 46,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,257.73 : 109,864.72 = 31,137.63 : x
  2. Step 2: Convert to fraction form
    73,257.73/109,864.72 = 31,137.63/x
  3. Step 3: Cross multiply
    73,257.73x = 109,864.72 × 31,137.63
  4. Step 4: Simplify right side
    73,257.73x = 3,420,926,628.34
  5. Step 5: Solve for x
    x = 3,420,926,628.34/73,257.73
  6. Step 6: Final answer
    x = 46,697.14

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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.