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Finding the Fourth Proportional to 33,012.77, 45,564.32 and 22,405.82

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Solution

The fourth proportional to 33,012.77, 45,564.32 and 22,405.82 is: 30,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.77 : 45,564.32 = 22,405.82 : x
  2. Step 2: Convert to fraction form
    33,012.77/45,564.32 = 22,405.82/x
  3. Step 3: Cross multiply
    33,012.77x = 45,564.32 × 22,405.82
  4. Step 4: Simplify right side
    33,012.77x = 1,020,905,780.54
  5. Step 5: Solve for x
    x = 1,020,905,780.54/33,012.77
  6. Step 6: Final answer
    x = 30,924.58

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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.