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Finding the Fourth Proportional to 77,967.36, 116,940 and 25,377.60

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Solution

The fourth proportional to 77,967.36, 116,940 and 25,377.60 is: 38,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.36 : 116,940 = 25,377.60 : x
  2. Step 2: Convert to fraction form
    77,967.36/116,940 = 25,377.60/x
  3. Step 3: Cross multiply
    77,967.36x = 116,940 × 25,377.60
  4. Step 4: Simplify right side
    77,967.36x = 2,967,656,544
  5. Step 5: Solve for x
    x = 2,967,656,544/77,967.36
  6. Step 6: Final answer
    x = 38,062.81

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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.