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Finding the Fourth Proportional to 65,130.85, 97,693.27 and 27,164.44

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Solution

The fourth proportional to 65,130.85, 97,693.27 and 27,164.44 is: 40,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.85 : 97,693.27 = 27,164.44 : x
  2. Step 2: Convert to fraction form
    65,130.85/97,693.27 = 27,164.44/x
  3. Step 3: Cross multiply
    65,130.85x = 97,693.27 × 27,164.44
  4. Step 4: Simplify right side
    65,130.85x = 2,653,782,971.32
  5. Step 5: Solve for x
    x = 2,653,782,971.32/65,130.85
  6. Step 6: Final answer
    x = 40,745.41

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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.