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Finding the Fourth Proportional to 99,909, 149,863.50 and 26,037

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Solution

The fourth proportional to 99,909, 149,863.50 and 26,037 is: 39,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909 : 149,863.50 = 26,037 : x
  2. Step 2: Convert to fraction form
    99,909/149,863.50 = 26,037/x
  3. Step 3: Cross multiply
    99,909x = 149,863.50 × 26,037
  4. Step 4: Simplify right side
    99,909x = 3,901,995,949.50
  5. Step 5: Solve for x
    x = 3,901,995,949.50/99,909
  6. Step 6: Final answer
    x = 39,055.50

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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.