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Finding the Fourth Proportional to 38,651.34, 57,975.14 and 22,649.80

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Solution

The fourth proportional to 38,651.34, 57,975.14 and 22,649.80 is: 33,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,651.34 : 57,975.14 = 22,649.80 : x
  2. Step 2: Convert to fraction form
    38,651.34/57,975.14 = 22,649.80/x
  3. Step 3: Cross multiply
    38,651.34x = 57,975.14 × 22,649.80
  4. Step 4: Simplify right side
    38,651.34x = 1,313,125,325.97
  5. Step 5: Solve for x
    x = 1,313,125,325.97/38,651.34
  6. Step 6: Final answer
    x = 33,973.60

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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.