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Finding the Fourth Proportional to 35,766, 53,631.54 and 10,801.26

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Solution

The fourth proportional to 35,766, 53,631.54 and 10,801.26 is: 16,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766 : 53,631.54 = 10,801.26 : x
  2. Step 2: Convert to fraction form
    35,766/53,631.54 = 10,801.26/x
  3. Step 3: Cross multiply
    35,766x = 53,631.54 × 10,801.26
  4. Step 4: Simplify right side
    35,766x = 579,288,207.74
  5. Step 5: Solve for x
    x = 579,288,207.74/35,766
  6. Step 6: Final answer
    x = 16,196.62

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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.