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Finding the Fourth Proportional to 46,933.52, 64,788.54 and 28,067

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Solution

The fourth proportional to 46,933.52, 64,788.54 and 28,067 is: 38,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,933.52 : 64,788.54 = 28,067 : x
  2. Step 2: Convert to fraction form
    46,933.52/64,788.54 = 28,067/x
  3. Step 3: Cross multiply
    46,933.52x = 64,788.54 × 28,067
  4. Step 4: Simplify right side
    46,933.52x = 1,818,419,952.18
  5. Step 5: Solve for x
    x = 1,818,419,952.18/46,933.52
  6. Step 6: Final answer
    x = 38,744.59

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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.