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Finding the Fourth Proportional to 65,134.56, 97,705.44 and 18,391.44

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Solution

The fourth proportional to 65,134.56, 97,705.44 and 18,391.44 is: 27,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.56 : 97,705.44 = 18,391.44 : x
  2. Step 2: Convert to fraction form
    65,134.56/97,705.44 = 18,391.44/x
  3. Step 3: Cross multiply
    65,134.56x = 97,705.44 × 18,391.44
  4. Step 4: Simplify right side
    65,134.56x = 1,796,943,737.43
  5. Step 5: Solve for x
    x = 1,796,943,737.43/65,134.56
  6. Step 6: Final answer
    x = 27,588.18

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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.