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Finding the Fourth Proportional to 82,370, 123,556.08 and 26,966

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Solution

The fourth proportional to 82,370, 123,556.08 and 26,966 is: 40,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,370 : 123,556.08 = 26,966 : x
  2. Step 2: Convert to fraction form
    82,370/123,556.08 = 26,966/x
  3. Step 3: Cross multiply
    82,370x = 123,556.08 × 26,966
  4. Step 4: Simplify right side
    82,370x = 3,331,813,253.28
  5. Step 5: Solve for x
    x = 3,331,813,253.28/82,370
  6. Step 6: Final answer
    x = 40,449.35

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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.