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Finding the Fourth Proportional to 65,230.16, 97,845.12 and 25,796.72

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Solution

The fourth proportional to 65,230.16, 97,845.12 and 25,796.72 is: 38,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.16 : 97,845.12 = 25,796.72 : x
  2. Step 2: Convert to fraction form
    65,230.16/97,845.12 = 25,796.72/x
  3. Step 3: Cross multiply
    65,230.16x = 97,845.12 × 25,796.72
  4. Step 4: Simplify right side
    65,230.16x = 2,524,083,164.01
  5. Step 5: Solve for x
    x = 2,524,083,164.01/65,230.16
  6. Step 6: Final answer
    x = 38,695.03

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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.