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Finding the Fourth Proportional to 34,717, 52,084.38 and 10,093

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Solution

The fourth proportional to 34,717, 52,084.38 and 10,093 is: 15,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717 : 52,084.38 = 10,093 : x
  2. Step 2: Convert to fraction form
    34,717/52,084.38 = 10,093/x
  3. Step 3: Cross multiply
    34,717x = 52,084.38 × 10,093
  4. Step 4: Simplify right side
    34,717x = 525,687,647.34
  5. Step 5: Solve for x
    x = 525,687,647.34/34,717
  6. Step 6: Final answer
    x = 15,142.08

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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.