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Finding the Fourth Proportional to 65,118.58, 97,695.41 and 33,511.42

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Solution

The fourth proportional to 65,118.58, 97,695.41 and 33,511.42 is: 50,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.58 : 97,695.41 = 33,511.42 : x
  2. Step 2: Convert to fraction form
    65,118.58/97,695.41 = 33,511.42/x
  3. Step 3: Cross multiply
    65,118.58x = 97,695.41 × 33,511.42
  4. Step 4: Simplify right side
    65,118.58x = 3,273,912,243.66
  5. Step 5: Solve for x
    x = 3,273,912,243.66/65,118.58
  6. Step 6: Final answer
    x = 50,276.16

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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.