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Finding the Fourth Proportional to 36,174, 49,920.46 and 20,041.65

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Solution

The fourth proportional to 36,174, 49,920.46 and 20,041.65 is: 27,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,174 : 49,920.46 = 20,041.65 : x
  2. Step 2: Convert to fraction form
    36,174/49,920.46 = 20,041.65/x
  3. Step 3: Cross multiply
    36,174x = 49,920.46 × 20,041.65
  4. Step 4: Simplify right side
    36,174x = 1,000,488,387.16
  5. Step 5: Solve for x
    x = 1,000,488,387.16/36,174
  6. Step 6: Final answer
    x = 27,657.67

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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.