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Finding the Fourth Proportional to 35,644, 53,466 and 11,020

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Solution

The fourth proportional to 35,644, 53,466 and 11,020 is: 16,530

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644 : 53,466 = 11,020 : x
  2. Step 2: Convert to fraction form
    35,644/53,466 = 11,020/x
  3. Step 3: Cross multiply
    35,644x = 53,466 × 11,020
  4. Step 4: Simplify right side
    35,644x = 589,195,320
  5. Step 5: Solve for x
    x = 589,195,320/35,644
  6. Step 6: Final answer
    x = 16,530

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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.