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Finding the Fourth Proportional to 30,027, 45,040.50 and 8,139

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Solution

The fourth proportional to 30,027, 45,040.50 and 8,139 is: 12,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027 : 45,040.50 = 8,139 : x
  2. Step 2: Convert to fraction form
    30,027/45,040.50 = 8,139/x
  3. Step 3: Cross multiply
    30,027x = 45,040.50 × 8,139
  4. Step 4: Simplify right side
    30,027x = 366,584,629.50
  5. Step 5: Solve for x
    x = 366,584,629.50/30,027
  6. Step 6: Final answer
    x = 12,208.50

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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.