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Finding the Fourth Proportional to 37,230.30, 55,845 and 10,934.10

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Solution

The fourth proportional to 37,230.30, 55,845 and 10,934.10 is: 16,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,230.30 : 55,845 = 10,934.10 : x
  2. Step 2: Convert to fraction form
    37,230.30/55,845 = 10,934.10/x
  3. Step 3: Cross multiply
    37,230.30x = 55,845 × 10,934.10
  4. Step 4: Simplify right side
    37,230.30x = 610,614,814.50
  5. Step 5: Solve for x
    x = 610,614,814.50/37,230.30
  6. Step 6: Final answer
    x = 16,401.02

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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.