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Finding the Fourth Proportional to 99,692.64, 149,583.03 and 52,296.42

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Solution

The fourth proportional to 99,692.64, 149,583.03 and 52,296.42 is: 78,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692.64 : 149,583.03 = 52,296.42 : x
  2. Step 2: Convert to fraction form
    99,692.64/149,583.03 = 52,296.42/x
  3. Step 3: Cross multiply
    99,692.64x = 149,583.03 × 52,296.42
  4. Step 4: Simplify right side
    99,692.64x = 7,822,656,961.75
  5. Step 5: Solve for x
    x = 7,822,656,961.75/99,692.64
  6. Step 6: Final answer
    x = 78,467.75

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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.