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Finding the Fourth Proportional to 65,748.21, 98,647.16 and 39,471.27

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Solution

The fourth proportional to 65,748.21, 98,647.16 and 39,471.27 is: 59,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748.21 : 98,647.16 = 39,471.27 : x
  2. Step 2: Convert to fraction form
    65,748.21/98,647.16 = 39,471.27/x
  3. Step 3: Cross multiply
    65,748.21x = 98,647.16 × 39,471.27
  4. Step 4: Simplify right side
    65,748.21x = 3,893,728,489.74
  5. Step 5: Solve for x
    x = 3,893,728,489.74/65,748.21
  6. Step 6: Final answer
    x = 59,221.82

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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.