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Finding the Fourth Proportional to 52,197.44, 72,027.60 and 29,538.50

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Solution

The fourth proportional to 52,197.44, 72,027.60 and 29,538.50 is: 40,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197.44 : 72,027.60 = 29,538.50 : x
  2. Step 2: Convert to fraction form
    52,197.44/72,027.60 = 29,538.50/x
  3. Step 3: Cross multiply
    52,197.44x = 72,027.60 × 29,538.50
  4. Step 4: Simplify right side
    52,197.44x = 2,127,587,262.60
  5. Step 5: Solve for x
    x = 2,127,587,262.60/52,197.44
  6. Step 6: Final answer
    x = 40,760.38

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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.