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Finding the Fourth Proportional to 54,957.44, 82,442.64 and 17,504.48

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Solution

The fourth proportional to 54,957.44, 82,442.64 and 17,504.48 is: 26,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,957.44 : 82,442.64 = 17,504.48 : x
  2. Step 2: Convert to fraction form
    54,957.44/82,442.64 = 17,504.48/x
  3. Step 3: Cross multiply
    54,957.44x = 82,442.64 × 17,504.48
  4. Step 4: Simplify right side
    54,957.44x = 1,443,115,543.03
  5. Step 5: Solve for x
    x = 1,443,115,543.03/54,957.44
  6. Step 6: Final answer
    x = 26,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.