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Finding the Fourth Proportional to 65,174.97, 97,597 and 54,617.23

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Solution

The fourth proportional to 65,174.97, 97,597 and 54,617.23 is: 81,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.97 : 97,597 = 54,617.23 : x
  2. Step 2: Convert to fraction form
    65,174.97/97,597 = 54,617.23/x
  3. Step 3: Cross multiply
    65,174.97x = 97,597 × 54,617.23
  4. Step 4: Simplify right side
    65,174.97x = 5,330,477,796.31
  5. Step 5: Solve for x
    x = 5,330,477,796.31/65,174.97
  6. Step 6: Final answer
    x = 81,787.19

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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.