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Finding the Fourth Proportional to 99,684.64, 149,489.70 and 40,500.37

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Solution

The fourth proportional to 99,684.64, 149,489.70 and 40,500.37 is: 60,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,684.64 : 149,489.70 = 40,500.37 : x
  2. Step 2: Convert to fraction form
    99,684.64/149,489.70 = 40,500.37/x
  3. Step 3: Cross multiply
    99,684.64x = 149,489.70 × 40,500.37
  4. Step 4: Simplify right side
    99,684.64x = 6,054,388,161.19
  5. Step 5: Solve for x
    x = 6,054,388,161.19/99,684.64
  6. Step 6: Final answer
    x = 60,735.42

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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.