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Finding the Fourth Proportional to 47,204.06, 65,134.14 and 27,057.06

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Solution

The fourth proportional to 47,204.06, 65,134.14 and 27,057.06 is: 37,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204.06 : 65,134.14 = 27,057.06 : x
  2. Step 2: Convert to fraction form
    47,204.06/65,134.14 = 27,057.06/x
  3. Step 3: Cross multiply
    47,204.06x = 65,134.14 × 27,057.06
  4. Step 4: Simplify right side
    47,204.06x = 1,762,338,334.03
  5. Step 5: Solve for x
    x = 1,762,338,334.03/47,204.06
  6. Step 6: Final answer
    x = 37,334.47

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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.