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Finding the Fourth Proportional to 92,692.31, 127,921.94 and 52,406.45

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Solution

The fourth proportional to 92,692.31, 127,921.94 and 52,406.45 is: 72,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,692.31 : 127,921.94 = 52,406.45 : x
  2. Step 2: Convert to fraction form
    92,692.31/127,921.94 = 52,406.45/x
  3. Step 3: Cross multiply
    92,692.31x = 127,921.94 × 52,406.45
  4. Step 4: Simplify right side
    92,692.31x = 6,703,933,850.87
  5. Step 5: Solve for x
    x = 6,703,933,850.87/92,692.31
  6. Step 6: Final answer
    x = 72,324.60

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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.