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Finding the Fourth Proportional to 55,379, 83,067.72 and 25,780.28

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Solution

The fourth proportional to 55,379, 83,067.72 and 25,780.28 is: 38,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,379 : 83,067.72 = 25,780.28 : x
  2. Step 2: Convert to fraction form
    55,379/83,067.72 = 25,780.28/x
  3. Step 3: Cross multiply
    55,379x = 83,067.72 × 25,780.28
  4. Step 4: Simplify right side
    55,379x = 2,141,509,080.56
  5. Step 5: Solve for x
    x = 2,141,509,080.56/55,379
  6. Step 6: Final answer
    x = 38,670.06

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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.