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Finding the Fourth Proportional to 25,097.11, 37,692.46 and 22,096.20

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Solution

The fourth proportional to 25,097.11, 37,692.46 and 22,096.20 is: 33,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.11 : 37,692.46 = 22,096.20 : x
  2. Step 2: Convert to fraction form
    25,097.11/37,692.46 = 22,096.20/x
  3. Step 3: Cross multiply
    25,097.11x = 37,692.46 × 22,096.20
  4. Step 4: Simplify right side
    25,097.11x = 832,860,303.62
  5. Step 5: Solve for x
    x = 832,860,303.62/25,097.11
  6. Step 6: Final answer
    x = 33,185.51

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Why These Related Problems?

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