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Finding the Fourth Proportional to 40,013, 55,217.94 and 22,349

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Solution

The fourth proportional to 40,013, 55,217.94 and 22,349 is: 30,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,013 : 55,217.94 = 22,349 : x
  2. Step 2: Convert to fraction form
    40,013/55,217.94 = 22,349/x
  3. Step 3: Cross multiply
    40,013x = 55,217.94 × 22,349
  4. Step 4: Simplify right side
    40,013x = 1,234,065,741.06
  5. Step 5: Solve for x
    x = 1,234,065,741.06/40,013
  6. Step 6: Final answer
    x = 30,841.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.