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Finding the Fourth Proportional to 65,242.26, 97,794.54 and 25,745.04

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Solution

The fourth proportional to 65,242.26, 97,794.54 and 25,745.04 is: 38,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.26 : 97,794.54 = 25,745.04 : x
  2. Step 2: Convert to fraction form
    65,242.26/97,794.54 = 25,745.04/x
  3. Step 3: Cross multiply
    65,242.26x = 97,794.54 × 25,745.04
  4. Step 4: Simplify right side
    65,242.26x = 2,517,724,344.08
  5. Step 5: Solve for x
    x = 2,517,724,344.08/65,242.26
  6. Step 6: Final answer
    x = 38,590.39

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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.