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Finding the Fourth Proportional to 65,004.30, 97,515.90 and 27,564.30

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Solution

The fourth proportional to 65,004.30, 97,515.90 and 27,564.30 is: 41,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.30 : 97,515.90 = 27,564.30 : x
  2. Step 2: Convert to fraction form
    65,004.30/97,515.90 = 27,564.30/x
  3. Step 3: Cross multiply
    65,004.30x = 97,515.90 × 27,564.30
  4. Step 4: Simplify right side
    65,004.30x = 2,687,957,522.37
  5. Step 5: Solve for x
    x = 2,687,957,522.37/65,004.30
  6. Step 6: Final answer
    x = 41,350.46

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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.