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Finding the Fourth Proportional to 102,890.80, 154,365.42 and 32,775.52

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Solution

The fourth proportional to 102,890.80, 154,365.42 and 32,775.52 is: 49,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890.80 : 154,365.42 = 32,775.52 : x
  2. Step 2: Convert to fraction form
    102,890.80/154,365.42 = 32,775.52/x
  3. Step 3: Cross multiply
    102,890.80x = 154,365.42 × 32,775.52
  4. Step 4: Simplify right side
    102,890.80x = 5,059,406,910.52
  5. Step 5: Solve for x
    x = 5,059,406,910.52/102,890.80
  6. Step 6: Final answer
    x = 49,172.59

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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.