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Finding the Fourth Proportional to 32,907.44, 49,309.50 and 22,382.48

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Solution

The fourth proportional to 32,907.44, 49,309.50 and 22,382.48 is: 33,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.44 : 49,309.50 = 22,382.48 : x
  2. Step 2: Convert to fraction form
    32,907.44/49,309.50 = 22,382.48/x
  3. Step 3: Cross multiply
    32,907.44x = 49,309.50 × 22,382.48
  4. Step 4: Simplify right side
    32,907.44x = 1,103,668,897.56
  5. Step 5: Solve for x
    x = 1,103,668,897.56/32,907.44
  6. Step 6: Final answer
    x = 33,538.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.