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Finding the Fourth Proportional to 65,343.60, 97,884.14 and 55,305.27

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Solution

The fourth proportional to 65,343.60, 97,884.14 and 55,305.27 is: 82,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.60 : 97,884.14 = 55,305.27 : x
  2. Step 2: Convert to fraction form
    65,343.60/97,884.14 = 55,305.27/x
  3. Step 3: Cross multiply
    65,343.60x = 97,884.14 × 55,305.27
  4. Step 4: Simplify right side
    65,343.60x = 5,413,508,514.89
  5. Step 5: Solve for x
    x = 5,413,508,514.89/65,343.60
  6. Step 6: Final answer
    x = 82,846.81

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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.