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Finding the Fourth Proportional to 33,564.80, 46,291.20 and 28,272

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Solution

The fourth proportional to 33,564.80, 46,291.20 and 28,272 is: 38,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.80 : 46,291.20 = 28,272 : x
  2. Step 2: Convert to fraction form
    33,564.80/46,291.20 = 28,272/x
  3. Step 3: Cross multiply
    33,564.80x = 46,291.20 × 28,272
  4. Step 4: Simplify right side
    33,564.80x = 1,308,744,806.40
  5. Step 5: Solve for x
    x = 1,308,744,806.40/33,564.80
  6. Step 6: Final answer
    x = 38,991.59

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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.