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Finding the Fourth Proportional to 72,590.26, 108,900.78 and 25,843

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Solution

The fourth proportional to 72,590.26, 108,900.78 and 25,843 is: 38,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,590.26 : 108,900.78 = 25,843 : x
  2. Step 2: Convert to fraction form
    72,590.26/108,900.78 = 25,843/x
  3. Step 3: Cross multiply
    72,590.26x = 108,900.78 × 25,843
  4. Step 4: Simplify right side
    72,590.26x = 2,814,322,857.54
  5. Step 5: Solve for x
    x = 2,814,322,857.54/72,590.26
  6. Step 6: Final answer
    x = 38,769.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.