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Finding the Fourth Proportional to 35,044, 52,566 and 10,420

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Solution

The fourth proportional to 35,044, 52,566 and 10,420 is: 15,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,044 : 52,566 = 10,420 : x
  2. Step 2: Convert to fraction form
    35,044/52,566 = 10,420/x
  3. Step 3: Cross multiply
    35,044x = 52,566 × 10,420
  4. Step 4: Simplify right side
    35,044x = 547,737,720
  5. Step 5: Solve for x
    x = 547,737,720/35,044
  6. Step 6: Final answer
    x = 15,630

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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.