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Finding the Fourth Proportional to 101,929.92, 140,692.32 and 59,511.84

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Solution

The fourth proportional to 101,929.92, 140,692.32 and 59,511.84 is: 82,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,929.92 : 140,692.32 = 59,511.84 : x
  2. Step 2: Convert to fraction form
    101,929.92/140,692.32 = 59,511.84/x
  3. Step 3: Cross multiply
    101,929.92x = 140,692.32 × 59,511.84
  4. Step 4: Simplify right side
    101,929.92x = 8,372,858,837.07
  5. Step 5: Solve for x
    x = 8,372,858,837.07/101,929.92
  6. Step 6: Final answer
    x = 82,143.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.