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Finding the Fourth Proportional to 52,177, 72,004.26 and 29,821.48

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Solution

The fourth proportional to 52,177, 72,004.26 and 29,821.48 is: 41,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177 : 72,004.26 = 29,821.48 : x
  2. Step 2: Convert to fraction form
    52,177/72,004.26 = 29,821.48/x
  3. Step 3: Cross multiply
    52,177x = 72,004.26 × 29,821.48
  4. Step 4: Simplify right side
    52,177x = 2,147,273,599.50
  5. Step 5: Solve for x
    x = 2,147,273,599.50/52,177
  6. Step 6: Final answer
    x = 41,153.64

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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.