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Finding the Fourth Proportional to 75,692.01, 113,583.37 and 31,319.37

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Solution

The fourth proportional to 75,692.01, 113,583.37 and 31,319.37 is: 46,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692.01 : 113,583.37 = 31,319.37 : x
  2. Step 2: Convert to fraction form
    75,692.01/113,583.37 = 31,319.37/x
  3. Step 3: Cross multiply
    75,692.01x = 113,583.37 × 31,319.37
  4. Step 4: Simplify right side
    75,692.01x = 3,557,358,944.66
  5. Step 5: Solve for x
    x = 3,557,358,944.66/75,692.01
  6. Step 6: Final answer
    x = 46,997.82

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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.