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Finding the Fourth Proportional to 65,896.44, 98,896.95 and 34,315.50

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Solution

The fourth proportional to 65,896.44, 98,896.95 and 34,315.50 is: 51,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,896.44 : 98,896.95 = 34,315.50 : x
  2. Step 2: Convert to fraction form
    65,896.44/98,896.95 = 34,315.50/x
  3. Step 3: Cross multiply
    65,896.44x = 98,896.95 × 34,315.50
  4. Step 4: Simplify right side
    65,896.44x = 3,393,698,102.29
  5. Step 5: Solve for x
    x = 3,393,698,102.29/65,896.44
  6. Step 6: Final answer
    x = 51,500.48

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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.