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Finding the Fourth Proportional to 47,105.69, 65,005.11 and 25,884.50

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Solution

The fourth proportional to 47,105.69, 65,005.11 and 25,884.50 is: 35,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105.69 : 65,005.11 = 25,884.50 : x
  2. Step 2: Convert to fraction form
    47,105.69/65,005.11 = 25,884.50/x
  3. Step 3: Cross multiply
    47,105.69x = 65,005.11 × 25,884.50
  4. Step 4: Simplify right side
    47,105.69x = 1,682,624,444.77
  5. Step 5: Solve for x
    x = 1,682,624,444.77/47,105.69
  6. Step 6: Final answer
    x = 35,720.20

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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.