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Finding the Fourth Proportional to 73,257.92, 109,892.34 and 31,133.27

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Solution

The fourth proportional to 73,257.92, 109,892.34 and 31,133.27 is: 46,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,257.92 : 109,892.34 = 31,133.27 : x
  2. Step 2: Convert to fraction form
    73,257.92/109,892.34 = 31,133.27/x
  3. Step 3: Cross multiply
    73,257.92x = 109,892.34 × 31,133.27
  4. Step 4: Simplify right side
    73,257.92x = 3,421,307,892.15
  5. Step 5: Solve for x
    x = 3,421,307,892.15/73,257.92
  6. Step 6: Final answer
    x = 46,702.23

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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.