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Finding the Fourth Proportional to 56,840.50, 78,439.89 and 31,690

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Solution

The fourth proportional to 56,840.50, 78,439.89 and 31,690 is: 43,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,840.50 : 78,439.89 = 31,690 : x
  2. Step 2: Convert to fraction form
    56,840.50/78,439.89 = 31,690/x
  3. Step 3: Cross multiply
    56,840.50x = 78,439.89 × 31,690
  4. Step 4: Simplify right side
    56,840.50x = 2,485,760,114.10
  5. Step 5: Solve for x
    x = 2,485,760,114.10/56,840.50
  6. Step 6: Final answer
    x = 43,732.20

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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.