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Finding the Fourth Proportional to 47,768.83, 65,921.01 and 26,548.09

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Solution

The fourth proportional to 47,768.83, 65,921.01 and 26,548.09 is: 36,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.83 : 65,921.01 = 26,548.09 : x
  2. Step 2: Convert to fraction form
    47,768.83/65,921.01 = 26,548.09/x
  3. Step 3: Cross multiply
    47,768.83x = 65,921.01 × 26,548.09
  4. Step 4: Simplify right side
    47,768.83x = 1,750,076,906.37
  5. Step 5: Solve for x
    x = 1,750,076,906.37/47,768.83
  6. Step 6: Final answer
    x = 36,636.38

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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.