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Finding the Fourth Proportional to 92,286, 138,452.12 and 26,622

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Solution

The fourth proportional to 92,286, 138,452.12 and 26,622 is: 39,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 138,452.12 = 26,622 : x
  2. Step 2: Convert to fraction form
    92,286/138,452.12 = 26,622/x
  3. Step 3: Cross multiply
    92,286x = 138,452.12 × 26,622
  4. Step 4: Simplify right side
    92,286x = 3,685,872,338.64
  5. Step 5: Solve for x
    x = 3,685,872,338.64/92,286
  6. Step 6: Final answer
    x = 39,939.67

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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.