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Finding the Fourth Proportional to 47,520.48, 65,580.54 and 27,380.46

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Solution

The fourth proportional to 47,520.48, 65,580.54 and 27,380.46 is: 37,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520.48 : 65,580.54 = 27,380.46 : x
  2. Step 2: Convert to fraction form
    47,520.48/65,580.54 = 27,380.46/x
  3. Step 3: Cross multiply
    47,520.48x = 65,580.54 × 27,380.46
  4. Step 4: Simplify right side
    47,520.48x = 1,795,625,352.25
  5. Step 5: Solve for x
    x = 1,795,625,352.25/47,520.48
  6. Step 6: Final answer
    x = 37,786.35

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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.