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Finding the Fourth Proportional to 47,668.34, 65,785.30 and 27,528.90

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Solution

The fourth proportional to 47,668.34, 65,785.30 and 27,528.90 is: 37,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.34 : 65,785.30 = 27,528.90 : x
  2. Step 2: Convert to fraction form
    47,668.34/65,785.30 = 27,528.90/x
  3. Step 3: Cross multiply
    47,668.34x = 65,785.30 × 27,528.90
  4. Step 4: Simplify right side
    47,668.34x = 1,810,996,945.17
  5. Step 5: Solve for x
    x = 1,810,996,945.17/47,668.34
  6. Step 6: Final answer
    x = 37,991.61

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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.