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Finding the Fourth Proportional to 103,093.36, 154,664.64 and 36,539.30

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Solution

The fourth proportional to 103,093.36, 154,664.64 and 36,539.30 is: 54,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,093.36 : 154,664.64 = 36,539.30 : x
  2. Step 2: Convert to fraction form
    103,093.36/154,664.64 = 36,539.30/x
  3. Step 3: Cross multiply
    103,093.36x = 154,664.64 × 36,539.30
  4. Step 4: Simplify right side
    103,093.36x = 5,651,338,067.01
  5. Step 5: Solve for x
    x = 5,651,338,067.01/103,093.36
  6. Step 6: Final answer
    x = 54,817.67

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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.