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Finding the Fourth Proportional to 56,991, 78,647.61 and 31,840.50

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Solution

The fourth proportional to 56,991, 78,647.61 and 31,840.50 is: 43,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,991 : 78,647.61 = 31,840.50 : x
  2. Step 2: Convert to fraction form
    56,991/78,647.61 = 31,840.50/x
  3. Step 3: Cross multiply
    56,991x = 78,647.61 × 31,840.50
  4. Step 4: Simplify right side
    56,991x = 2,504,179,226.21
  5. Step 5: Solve for x
    x = 2,504,179,226.21/56,991
  6. Step 6: Final answer
    x = 43,939.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.