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Finding the Fourth Proportional to 65,839, 98,758.50 and 16,591

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Solution

The fourth proportional to 65,839, 98,758.50 and 16,591 is: 24,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,839 : 98,758.50 = 16,591 : x
  2. Step 2: Convert to fraction form
    65,839/98,758.50 = 16,591/x
  3. Step 3: Cross multiply
    65,839x = 98,758.50 × 16,591
  4. Step 4: Simplify right side
    65,839x = 1,638,502,273.50
  5. Step 5: Solve for x
    x = 1,638,502,273.50/65,839
  6. Step 6: Final answer
    x = 24,886.50

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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.