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Finding the Fourth Proportional to 82,982.34, 114,514.38 and 45,256.59

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Solution

The fourth proportional to 82,982.34, 114,514.38 and 45,256.59 is: 62,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982.34 : 114,514.38 = 45,256.59 : x
  2. Step 2: Convert to fraction form
    82,982.34/114,514.38 = 45,256.59/x
  3. Step 3: Cross multiply
    82,982.34x = 114,514.38 × 45,256.59
  4. Step 4: Simplify right side
    82,982.34x = 5,182,530,344.76
  5. Step 5: Solve for x
    x = 5,182,530,344.76/82,982.34
  6. Step 6: Final answer
    x = 62,453.41

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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.