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Finding the Fourth Proportional to 47,723.50, 65,858.43 and 27,851.50

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Solution

The fourth proportional to 47,723.50, 65,858.43 and 27,851.50 is: 38,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,723.50 : 65,858.43 = 27,851.50 : x
  2. Step 2: Convert to fraction form
    47,723.50/65,858.43 = 27,851.50/x
  3. Step 3: Cross multiply
    47,723.50x = 65,858.43 × 27,851.50
  4. Step 4: Simplify right side
    47,723.50x = 1,834,256,063.15
  5. Step 5: Solve for x
    x = 1,834,256,063.15/47,723.50
  6. Step 6: Final answer
    x = 38,435.07

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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.