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Finding the Fourth Proportional to 84,721.66, 116,915.84 and 46,481.46

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Solution

The fourth proportional to 84,721.66, 116,915.84 and 46,481.46 is: 64,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721.66 : 116,915.84 = 46,481.46 : x
  2. Step 2: Convert to fraction form
    84,721.66/116,915.84 = 46,481.46/x
  3. Step 3: Cross multiply
    84,721.66x = 116,915.84 × 46,481.46
  4. Step 4: Simplify right side
    84,721.66x = 5,434,418,443.79
  5. Step 5: Solve for x
    x = 5,434,418,443.79/84,721.66
  6. Step 6: Final answer
    x = 64,144.38

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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.