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Finding the Fourth Proportional to 47,443.50, 65,471.97 and 25,933.38

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Solution

The fourth proportional to 47,443.50, 65,471.97 and 25,933.38 is: 35,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,443.50 : 65,471.97 = 25,933.38 : x
  2. Step 2: Convert to fraction form
    47,443.50/65,471.97 = 25,933.38/x
  3. Step 3: Cross multiply
    47,443.50x = 65,471.97 × 25,933.38
  4. Step 4: Simplify right side
    47,443.50x = 1,697,909,477.36
  5. Step 5: Solve for x
    x = 1,697,909,477.36/47,443.50
  6. Step 6: Final answer
    x = 35,788.03

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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.