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Finding the Fourth Proportional to 101,808.30, 152,692.32 and 34,333.68

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Solution

The fourth proportional to 101,808.30, 152,692.32 and 34,333.68 is: 51,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808.30 : 152,692.32 = 34,333.68 : x
  2. Step 2: Convert to fraction form
    101,808.30/152,692.32 = 34,333.68/x
  3. Step 3: Cross multiply
    101,808.30x = 152,692.32 × 34,333.68
  4. Step 4: Simplify right side
    101,808.30x = 5,242,489,253.34
  5. Step 5: Solve for x
    x = 5,242,489,253.34/101,808.30
  6. Step 6: Final answer
    x = 51,493.73

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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.