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Finding the Fourth Proportional to 65,738.15, 98,607.23 and 61,850.15

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Solution

The fourth proportional to 65,738.15, 98,607.23 and 61,850.15 is: 92,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.15 : 98,607.23 = 61,850.15 : x
  2. Step 2: Convert to fraction form
    65,738.15/98,607.23 = 61,850.15/x
  3. Step 3: Cross multiply
    65,738.15x = 98,607.23 × 61,850.15
  4. Step 4: Simplify right side
    65,738.15x = 6,098,871,657.33
  5. Step 5: Solve for x
    x = 6,098,871,657.33/65,738.15
  6. Step 6: Final answer
    x = 92,775.23

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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.