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Finding the Fourth Proportional to 65,348.43, 97,936.44 and 25,884.01

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Solution

The fourth proportional to 65,348.43, 97,936.44 and 25,884.01 is: 38,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.43 : 97,936.44 = 25,884.01 : x
  2. Step 2: Convert to fraction form
    65,348.43/97,936.44 = 25,884.01/x
  3. Step 3: Cross multiply
    65,348.43x = 97,936.44 × 25,884.01
  4. Step 4: Simplify right side
    65,348.43x = 2,534,987,792.32
  5. Step 5: Solve for x
    x = 2,534,987,792.32/65,348.43
  6. Step 6: Final answer
    x = 38,791.87

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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.