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Finding the Fourth Proportional to 73,690.46, 101,692.83 and 40,156.46

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Solution

The fourth proportional to 73,690.46, 101,692.83 and 40,156.46 is: 55,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,690.46 : 101,692.83 = 40,156.46 : x
  2. Step 2: Convert to fraction form
    73,690.46/101,692.83 = 40,156.46/x
  3. Step 3: Cross multiply
    73,690.46x = 101,692.83 × 40,156.46
  4. Step 4: Simplify right side
    73,690.46x = 4,083,623,551.72
  5. Step 5: Solve for x
    x = 4,083,623,551.72/73,690.46
  6. Step 6: Final answer
    x = 55,415.91

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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.