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Finding the Fourth Proportional to 84,497.34, 116,469.99 and 57,264.33

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Solution

The fourth proportional to 84,497.34, 116,469.99 and 57,264.33 is: 78,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,497.34 : 116,469.99 = 57,264.33 : x
  2. Step 2: Convert to fraction form
    84,497.34/116,469.99 = 57,264.33/x
  3. Step 3: Cross multiply
    84,497.34x = 116,469.99 × 57,264.33
  4. Step 4: Simplify right side
    84,497.34x = 6,669,575,942.46
  5. Step 5: Solve for x
    x = 6,669,575,942.46/84,497.34
  6. Step 6: Final answer
    x = 78,932.38

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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.