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Finding the Fourth Proportional to 46,992, 64,843 and 25,765.68

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Solution

The fourth proportional to 46,992, 64,843 and 25,765.68 is: 35,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 64,843 = 25,765.68 : x
  2. Step 2: Convert to fraction form
    46,992/64,843 = 25,765.68/x
  3. Step 3: Cross multiply
    46,992x = 64,843 × 25,765.68
  4. Step 4: Simplify right side
    46,992x = 1,670,723,988.24
  5. Step 5: Solve for x
    x = 1,670,723,988.24/46,992
  6. Step 6: Final answer
    x = 35,553.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.