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Finding the Fourth Proportional to 82,354, 123,532.08 and 26,950

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Solution

The fourth proportional to 82,354, 123,532.08 and 26,950 is: 40,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354 : 123,532.08 = 26,950 : x
  2. Step 2: Convert to fraction form
    82,354/123,532.08 = 26,950/x
  3. Step 3: Cross multiply
    82,354x = 123,532.08 × 26,950
  4. Step 4: Simplify right side
    82,354x = 3,329,189,556
  5. Step 5: Solve for x
    x = 3,329,189,556/82,354
  6. Step 6: Final answer
    x = 40,425.35

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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.