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Finding the Fourth Proportional to 36,983.92, 55,475.94 and 9,281.92

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Solution

The fourth proportional to 36,983.92, 55,475.94 and 9,281.92 is: 13,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,983.92 : 55,475.94 = 9,281.92 : x
  2. Step 2: Convert to fraction form
    36,983.92/55,475.94 = 9,281.92/x
  3. Step 3: Cross multiply
    36,983.92x = 55,475.94 × 9,281.92
  4. Step 4: Simplify right side
    36,983.92x = 514,923,237.00
  5. Step 5: Solve for x
    x = 514,923,237.00/36,983.92
  6. Step 6: Final answer
    x = 13,922.90

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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.