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Finding the Fourth Proportional to 47,739.09, 65,865.09 and 27,588.63

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Solution

The fourth proportional to 47,739.09, 65,865.09 and 27,588.63 is: 38,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,739.09 : 65,865.09 = 27,588.63 : x
  2. Step 2: Convert to fraction form
    47,739.09/65,865.09 = 27,588.63/x
  3. Step 3: Cross multiply
    47,739.09x = 65,865.09 × 27,588.63
  4. Step 4: Simplify right side
    47,739.09x = 1,817,127,597.93
  5. Step 5: Solve for x
    x = 1,817,127,597.93/47,739.09
  6. Step 6: Final answer
    x = 38,063.73

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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.