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Finding the Fourth Proportional to 51,188.69, 76,783.02 and 20,002.07

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Solution

The fourth proportional to 51,188.69, 76,783.02 and 20,002.07 is: 30,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,188.69 : 76,783.02 = 20,002.07 : x
  2. Step 2: Convert to fraction form
    51,188.69/76,783.02 = 20,002.07/x
  3. Step 3: Cross multiply
    51,188.69x = 76,783.02 × 20,002.07
  4. Step 4: Simplify right side
    51,188.69x = 1,535,819,340.85
  5. Step 5: Solve for x
    x = 1,535,819,340.85/51,188.69
  6. Step 6: Final answer
    x = 30,003.10

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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.