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Finding the Fourth Proportional to 54,791, 82,137.18 and 19,706

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Solution

The fourth proportional to 54,791, 82,137.18 and 19,706 is: 29,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,791 : 82,137.18 = 19,706 : x
  2. Step 2: Convert to fraction form
    54,791/82,137.18 = 19,706/x
  3. Step 3: Cross multiply
    54,791x = 82,137.18 × 19,706
  4. Step 4: Simplify right side
    54,791x = 1,618,595,269.08
  5. Step 5: Solve for x
    x = 1,618,595,269.08/54,791
  6. Step 6: Final answer
    x = 29,541.26

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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.