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Finding the Fourth Proportional to 65,878.26, 98,817.60 and 15,958.26

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Solution

The fourth proportional to 65,878.26, 98,817.60 and 15,958.26 is: 23,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.26 : 98,817.60 = 15,958.26 : x
  2. Step 2: Convert to fraction form
    65,878.26/98,817.60 = 15,958.26/x
  3. Step 3: Cross multiply
    65,878.26x = 98,817.60 × 15,958.26
  4. Step 4: Simplify right side
    65,878.26x = 1,576,956,953.38
  5. Step 5: Solve for x
    x = 1,576,956,953.38/65,878.26
  6. Step 6: Final answer
    x = 23,937.44

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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.