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Finding the Fourth Proportional to 65,100.93, 97,647.21 and 20,759.46

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Solution

The fourth proportional to 65,100.93, 97,647.21 and 20,759.46 is: 31,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.93 : 97,647.21 = 20,759.46 : x
  2. Step 2: Convert to fraction form
    65,100.93/97,647.21 = 20,759.46/x
  3. Step 3: Cross multiply
    65,100.93x = 97,647.21 × 20,759.46
  4. Step 4: Simplify right side
    65,100.93x = 2,027,103,350.11
  5. Step 5: Solve for x
    x = 2,027,103,350.11/65,100.93
  6. Step 6: Final answer
    x = 31,137.86

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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.