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Finding the Fourth Proportional to 65,395, 98,093.41 and 18,647.88

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Solution

The fourth proportional to 65,395, 98,093.41 and 18,647.88 is: 27,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,395 : 98,093.41 = 18,647.88 : x
  2. Step 2: Convert to fraction form
    65,395/98,093.41 = 18,647.88/x
  3. Step 3: Cross multiply
    65,395x = 98,093.41 × 18,647.88
  4. Step 4: Simplify right side
    65,395x = 1,829,233,648.00
  5. Step 5: Solve for x
    x = 1,829,233,648.00/65,395
  6. Step 6: Final answer
    x = 27,972.07

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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.