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Finding the Fourth Proportional to 20,040.50, 30,061.16 and 6,189.50

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Solution

The fourth proportional to 20,040.50, 30,061.16 and 6,189.50 is: 9,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040.50 : 30,061.16 = 6,189.50 : x
  2. Step 2: Convert to fraction form
    20,040.50/30,061.16 = 6,189.50/x
  3. Step 3: Cross multiply
    20,040.50x = 30,061.16 × 6,189.50
  4. Step 4: Simplify right side
    20,040.50x = 186,063,549.82
  5. Step 5: Solve for x
    x = 186,063,549.82/20,040.50
  6. Step 6: Final answer
    x = 9,284.38

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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.