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Finding the Fourth Proportional to 55,731, 83,589.78 and 14,178.36

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Solution

The fourth proportional to 55,731, 83,589.78 and 14,178.36 is: 21,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731 : 83,589.78 = 14,178.36 : x
  2. Step 2: Convert to fraction form
    55,731/83,589.78 = 14,178.36/x
  3. Step 3: Cross multiply
    55,731x = 83,589.78 × 14,178.36
  4. Step 4: Simplify right side
    55,731x = 1,185,165,993.16
  5. Step 5: Solve for x
    x = 1,185,165,993.16/55,731
  6. Step 6: Final answer
    x = 21,265.83

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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.