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Finding the Fourth Proportional to 47,221.66, 65,160.48 and 27,073

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Solution

The fourth proportional to 47,221.66, 65,160.48 and 27,073 is: 37,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,221.66 : 65,160.48 = 27,073 : x
  2. Step 2: Convert to fraction form
    47,221.66/65,160.48 = 27,073/x
  3. Step 3: Cross multiply
    47,221.66x = 65,160.48 × 27,073
  4. Step 4: Simplify right side
    47,221.66x = 1,764,089,675.04
  5. Step 5: Solve for x
    x = 1,764,089,675.04/47,221.66
  6. Step 6: Final answer
    x = 37,357.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.