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Finding the Fourth Proportional to 65,127.89, 97,678.16 and 18,369.83

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Solution

The fourth proportional to 65,127.89, 97,678.16 and 18,369.83 is: 27,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,127.89 : 97,678.16 = 18,369.83 : x
  2. Step 2: Convert to fraction form
    65,127.89/97,678.16 = 18,369.83/x
  3. Step 3: Cross multiply
    65,127.89x = 97,678.16 × 18,369.83
  4. Step 4: Simplify right side
    65,127.89x = 1,794,330,659.60
  5. Step 5: Solve for x
    x = 1,794,330,659.60/65,127.89
  6. Step 6: Final answer
    x = 27,550.88

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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.