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Finding the Fourth Proportional to 65,111.96, 97,682.48 and 27,673.24

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Solution

The fourth proportional to 65,111.96, 97,682.48 and 27,673.24 is: 41,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.96 : 97,682.48 = 27,673.24 : x
  2. Step 2: Convert to fraction form
    65,111.96/97,682.48 = 27,673.24/x
  3. Step 3: Cross multiply
    65,111.96x = 97,682.48 × 27,673.24
  4. Step 4: Simplify right side
    65,111.96x = 2,703,190,712.84
  5. Step 5: Solve for x
    x = 2,703,190,712.84/65,111.96
  6. Step 6: Final answer
    x = 41,516.04

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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.