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Finding the Fourth Proportional to 35,002, 52,503 and 10,378

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Solution

The fourth proportional to 35,002, 52,503 and 10,378 is: 15,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,002 : 52,503 = 10,378 : x
  2. Step 2: Convert to fraction form
    35,002/52,503 = 10,378/x
  3. Step 3: Cross multiply
    35,002x = 52,503 × 10,378
  4. Step 4: Simplify right side
    35,002x = 544,876,134
  5. Step 5: Solve for x
    x = 544,876,134/35,002
  6. Step 6: Final answer
    x = 15,567

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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.