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Finding the Fourth Proportional to 30,085.38, 41,522.49 and 17,164.67

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Solution

The fourth proportional to 30,085.38, 41,522.49 and 17,164.67 is: 23,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.38 : 41,522.49 = 17,164.67 : x
  2. Step 2: Convert to fraction form
    30,085.38/41,522.49 = 17,164.67/x
  3. Step 3: Cross multiply
    30,085.38x = 41,522.49 × 17,164.67
  4. Step 4: Simplify right side
    30,085.38x = 712,719,630.82
  5. Step 5: Solve for x
    x = 712,719,630.82/30,085.38
  6. Step 6: Final answer
    x = 23,689.90

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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.