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Finding the Fourth Proportional to 82,982.48, 114,514.44 and 45,254.48

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Solution

The fourth proportional to 82,982.48, 114,514.44 and 45,254.48 is: 62,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982.48 : 114,514.44 = 45,254.48 : x
  2. Step 2: Convert to fraction form
    82,982.48/114,514.44 = 45,254.48/x
  3. Step 3: Cross multiply
    82,982.48x = 114,514.44 × 45,254.48
  4. Step 4: Simplify right side
    82,982.48x = 5,182,291,434.69
  5. Step 5: Solve for x
    x = 5,182,291,434.69/82,982.48
  6. Step 6: Final answer
    x = 62,450.43

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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.