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Finding the Fourth Proportional to 65,385, 98,077.50 and 16,137

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Solution

The fourth proportional to 65,385, 98,077.50 and 16,137 is: 24,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,385 : 98,077.50 = 16,137 : x
  2. Step 2: Convert to fraction form
    65,385/98,077.50 = 16,137/x
  3. Step 3: Cross multiply
    65,385x = 98,077.50 × 16,137
  4. Step 4: Simplify right side
    65,385x = 1,582,676,617.50
  5. Step 5: Solve for x
    x = 1,582,676,617.50/65,385
  6. Step 6: Final answer
    x = 24,205.50

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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.