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Finding the Fourth Proportional to 47,145.96, 65,092.14 and 29,267.24

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Solution

The fourth proportional to 47,145.96, 65,092.14 and 29,267.24 is: 40,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.96 : 65,092.14 = 29,267.24 : x
  2. Step 2: Convert to fraction form
    47,145.96/65,092.14 = 29,267.24/x
  3. Step 3: Cross multiply
    47,145.96x = 65,092.14 × 29,267.24
  4. Step 4: Simplify right side
    47,145.96x = 1,905,066,958.03
  5. Step 5: Solve for x
    x = 1,905,066,958.03/47,145.96
  6. Step 6: Final answer
    x = 40,407.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.