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Finding the Fourth Proportional to 54,841, 82,261.95 and 13,288

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Solution

The fourth proportional to 54,841, 82,261.95 and 13,288 is: 19,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841 : 82,261.95 = 13,288 : x
  2. Step 2: Convert to fraction form
    54,841/82,261.95 = 13,288/x
  3. Step 3: Cross multiply
    54,841x = 82,261.95 × 13,288
  4. Step 4: Simplify right side
    54,841x = 1,093,096,791.60
  5. Step 5: Solve for x
    x = 1,093,096,791.60/54,841
  6. Step 6: Final answer
    x = 19,932.11

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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.