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Finding the Fourth Proportional to 47,093.76, 64,986.24 and 25,872

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Solution

The fourth proportional to 47,093.76, 64,986.24 and 25,872 is: 35,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,093.76 : 64,986.24 = 25,872 : x
  2. Step 2: Convert to fraction form
    47,093.76/64,986.24 = 25,872/x
  3. Step 3: Cross multiply
    47,093.76x = 64,986.24 × 25,872
  4. Step 4: Simplify right side
    47,093.76x = 1,681,324,001.28
  5. Step 5: Solve for x
    x = 1,681,324,001.28/47,093.76
  6. Step 6: Final answer
    x = 35,701.63

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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.