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Finding the Fourth Proportional to 82,372, 123,559.08 and 26,968

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Solution

The fourth proportional to 82,372, 123,559.08 and 26,968 is: 40,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,372 : 123,559.08 = 26,968 : x
  2. Step 2: Convert to fraction form
    82,372/123,559.08 = 26,968/x
  3. Step 3: Cross multiply
    82,372x = 123,559.08 × 26,968
  4. Step 4: Simplify right side
    82,372x = 3,332,141,269.44
  5. Step 5: Solve for x
    x = 3,332,141,269.44/82,372
  6. Step 6: Final answer
    x = 40,452.35

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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.