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Finding the Fourth Proportional to 82,697.29, 114,186.54 and 63,546.87

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Solution

The fourth proportional to 82,697.29, 114,186.54 and 63,546.87 is: 87,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,697.29 : 114,186.54 = 63,546.87 : x
  2. Step 2: Convert to fraction form
    82,697.29/114,186.54 = 63,546.87/x
  3. Step 3: Cross multiply
    82,697.29x = 114,186.54 × 63,546.87
  4. Step 4: Simplify right side
    82,697.29x = 7,256,197,213.13
  5. Step 5: Solve for x
    x = 7,256,197,213.13/82,697.29
  6. Step 6: Final answer
    x = 87,744.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.