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Finding the Fourth Proportional to 65,841, 98,761.50 and 16,593

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Solution

The fourth proportional to 65,841, 98,761.50 and 16,593 is: 24,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841 : 98,761.50 = 16,593 : x
  2. Step 2: Convert to fraction form
    65,841/98,761.50 = 16,593/x
  3. Step 3: Cross multiply
    65,841x = 98,761.50 × 16,593
  4. Step 4: Simplify right side
    65,841x = 1,638,749,569.50
  5. Step 5: Solve for x
    x = 1,638,749,569.50/65,841
  6. Step 6: Final answer
    x = 24,889.50

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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.