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Finding the Fourth Proportional to 47,806.48, 65,975.07 and 27,664.30

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Solution

The fourth proportional to 47,806.48, 65,975.07 and 27,664.30 is: 38,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806.48 : 65,975.07 = 27,664.30 : x
  2. Step 2: Convert to fraction form
    47,806.48/65,975.07 = 27,664.30/x
  3. Step 3: Cross multiply
    47,806.48x = 65,975.07 × 27,664.30
  4. Step 4: Simplify right side
    47,806.48x = 1,825,154,129.00
  5. Step 5: Solve for x
    x = 1,825,154,129.00/47,806.48
  6. Step 6: Final answer
    x = 38,177.97

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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.