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Finding the Fourth Proportional to 47,191.80, 65,124.42 and 25,971

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Solution

The fourth proportional to 47,191.80, 65,124.42 and 25,971 is: 35,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,191.80 : 65,124.42 = 25,971 : x
  2. Step 2: Convert to fraction form
    47,191.80/65,124.42 = 25,971/x
  3. Step 3: Cross multiply
    47,191.80x = 65,124.42 × 25,971
  4. Step 4: Simplify right side
    47,191.80x = 1,691,346,311.82
  5. Step 5: Solve for x
    x = 1,691,346,311.82/47,191.80
  6. Step 6: Final answer
    x = 35,839.83

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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.