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Finding the Fourth Proportional to 47,169.73, 65,090.29 and 27,785.56

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Solution

The fourth proportional to 47,169.73, 65,090.29 and 27,785.56 is: 38,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169.73 : 65,090.29 = 27,785.56 : x
  2. Step 2: Convert to fraction form
    47,169.73/65,090.29 = 27,785.56/x
  3. Step 3: Cross multiply
    47,169.73x = 65,090.29 × 27,785.56
  4. Step 4: Simplify right side
    47,169.73x = 1,808,570,158.21
  5. Step 5: Solve for x
    x = 1,808,570,158.21/47,169.73
  6. Step 6: Final answer
    x = 38,341.75

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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.