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Finding the Fourth Proportional to 47,520.68, 65,583.42 and 27,378.32

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Solution

The fourth proportional to 47,520.68, 65,583.42 and 27,378.32 is: 37,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520.68 : 65,583.42 = 27,378.32 : x
  2. Step 2: Convert to fraction form
    47,520.68/65,583.42 = 27,378.32/x
  3. Step 3: Cross multiply
    47,520.68x = 65,583.42 × 27,378.32
  4. Step 4: Simplify right side
    47,520.68x = 1,795,563,859.45
  5. Step 5: Solve for x
    x = 1,795,563,859.45/47,520.68
  6. Step 6: Final answer
    x = 37,784.89

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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.