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Finding the Fourth Proportional to 72,965.54, 100,692.52 and 39,431.54

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Solution

The fourth proportional to 72,965.54, 100,692.52 and 39,431.54 is: 54,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965.54 : 100,692.52 = 39,431.54 : x
  2. Step 2: Convert to fraction form
    72,965.54/100,692.52 = 39,431.54/x
  3. Step 3: Cross multiply
    72,965.54x = 100,692.52 × 39,431.54
  4. Step 4: Simplify right side
    72,965.54x = 3,970,461,130.08
  5. Step 5: Solve for x
    x = 3,970,461,130.08/72,965.54
  6. Step 6: Final answer
    x = 54,415.57

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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.