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Finding the Fourth Proportional to 47,582.43, 65,662 and 27,440.16

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Solution

The fourth proportional to 47,582.43, 65,662 and 27,440.16 is: 37,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582.43 : 65,662 = 27,440.16 : x
  2. Step 2: Convert to fraction form
    47,582.43/65,662 = 27,440.16/x
  3. Step 3: Cross multiply
    47,582.43x = 65,662 × 27,440.16
  4. Step 4: Simplify right side
    47,582.43x = 1,801,775,785.92
  5. Step 5: Solve for x
    x = 1,801,775,785.92/47,582.43
  6. Step 6: Final answer
    x = 37,866.41

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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.