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Finding the Fourth Proportional to 47,227, 65,173.26 and 26,006.22

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Solution

The fourth proportional to 47,227, 65,173.26 and 26,006.22 is: 35,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,227 : 65,173.26 = 26,006.22 : x
  2. Step 2: Convert to fraction form
    47,227/65,173.26 = 26,006.22/x
  3. Step 3: Cross multiply
    47,227x = 65,173.26 × 26,006.22
  4. Step 4: Simplify right side
    47,227x = 1,694,909,811.81
  5. Step 5: Solve for x
    x = 1,694,909,811.81/47,227
  6. Step 6: Final answer
    x = 35,888.58

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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.