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Finding the Fourth Proportional to 84,467.41, 116,531.87 and 54,248.54

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Solution

The fourth proportional to 84,467.41, 116,531.87 and 54,248.54 is: 74,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,467.41 : 116,531.87 = 54,248.54 : x
  2. Step 2: Convert to fraction form
    84,467.41/116,531.87 = 54,248.54/x
  3. Step 3: Cross multiply
    84,467.41x = 116,531.87 × 54,248.54
  4. Step 4: Simplify right side
    84,467.41x = 6,321,682,957.07
  5. Step 5: Solve for x
    x = 6,321,682,957.07/84,467.41
  6. Step 6: Final answer
    x = 74,841.68

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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.