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Finding the Fourth Proportional to 65,408, 98,112.94 and 18,660.88

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Solution

The fourth proportional to 65,408, 98,112.94 and 18,660.88 is: 27,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408 : 98,112.94 = 18,660.88 : x
  2. Step 2: Convert to fraction form
    65,408/98,112.94 = 18,660.88/x
  3. Step 3: Cross multiply
    65,408x = 98,112.94 × 18,660.88
  4. Step 4: Simplify right side
    65,408x = 1,830,873,799.79
  5. Step 5: Solve for x
    x = 1,830,873,799.79/65,408
  6. Step 6: Final answer
    x = 27,991.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.