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Finding the Fourth Proportional to 33,509.72, 46,212.56 and 22,770.69

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Solution

The fourth proportional to 33,509.72, 46,212.56 and 22,770.69 is: 31,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.72 : 46,212.56 = 22,770.69 : x
  2. Step 2: Convert to fraction form
    33,509.72/46,212.56 = 22,770.69/x
  3. Step 3: Cross multiply
    33,509.72x = 46,212.56 × 22,770.69
  4. Step 4: Simplify right side
    33,509.72x = 1,052,292,162.09
  5. Step 5: Solve for x
    x = 1,052,292,162.09/33,509.72
  6. Step 6: Final answer
    x = 31,402.60

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