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Finding the Fourth Proportional to 99,894.24, 149,821.02 and 36,692.64

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Solution

The fourth proportional to 99,894.24, 149,821.02 and 36,692.64 is: 55,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.24 : 149,821.02 = 36,692.64 : x
  2. Step 2: Convert to fraction form
    99,894.24/149,821.02 = 36,692.64/x
  3. Step 3: Cross multiply
    99,894.24x = 149,821.02 × 36,692.64
  4. Step 4: Simplify right side
    99,894.24x = 5,497,328,751.29
  5. Step 5: Solve for x
    x = 5,497,328,751.29/99,894.24
  6. Step 6: Final answer
    x = 55,031.49

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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.