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Finding the Fourth Proportional to 65,495.82, 98,234.17 and 32,206.95

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Solution

The fourth proportional to 65,495.82, 98,234.17 and 32,206.95 is: 48,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,495.82 : 98,234.17 = 32,206.95 : x
  2. Step 2: Convert to fraction form
    65,495.82/98,234.17 = 32,206.95/x
  3. Step 3: Cross multiply
    65,495.82x = 98,234.17 × 32,206.95
  4. Step 4: Simplify right side
    65,495.82x = 3,163,822,920.96
  5. Step 5: Solve for x
    x = 3,163,822,920.96/65,495.82
  6. Step 6: Final answer
    x = 48,305.72

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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.