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Finding the Fourth Proportional to 82,078.50, 123,133.95 and 25,927.28

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Solution

The fourth proportional to 82,078.50, 123,133.95 and 25,927.28 is: 38,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,078.50 : 123,133.95 = 25,927.28 : x
  2. Step 2: Convert to fraction form
    82,078.50/123,133.95 = 25,927.28/x
  3. Step 3: Cross multiply
    82,078.50x = 123,133.95 × 25,927.28
  4. Step 4: Simplify right side
    82,078.50x = 3,192,527,783.49
  5. Step 5: Solve for x
    x = 3,192,527,783.49/82,078.50
  6. Step 6: Final answer
    x = 38,896.03

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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.