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Finding the Fourth Proportional to 68,177.60, 102,224.64 and 26,576

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Solution

The fourth proportional to 68,177.60, 102,224.64 and 26,576 is: 39,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,177.60 : 102,224.64 = 26,576 : x
  2. Step 2: Convert to fraction form
    68,177.60/102,224.64 = 26,576/x
  3. Step 3: Cross multiply
    68,177.60x = 102,224.64 × 26,576
  4. Step 4: Simplify right side
    68,177.60x = 2,716,722,032.64
  5. Step 5: Solve for x
    x = 2,716,722,032.64/68,177.60
  6. Step 6: Final answer
    x = 39,847.72

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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.