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Finding the Fourth Proportional to 101,692.32, 152,544.29 and 34,197.27

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Solution

The fourth proportional to 101,692.32, 152,544.29 and 34,197.27 is: 51,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,692.32 : 152,544.29 = 34,197.27 : x
  2. Step 2: Convert to fraction form
    101,692.32/152,544.29 = 34,197.27/x
  3. Step 3: Cross multiply
    101,692.32x = 152,544.29 × 34,197.27
  4. Step 4: Simplify right side
    101,692.32x = 5,216,598,101.10
  5. Step 5: Solve for x
    x = 5,216,598,101.10/101,692.32
  6. Step 6: Final answer
    x = 51,297.86

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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.