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Finding the Fourth Proportional to 33,609.04, 50,419.04 and 10,230

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Solution

The fourth proportional to 33,609.04, 50,419.04 and 10,230 is: 15,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,609.04 : 50,419.04 = 10,230 : x
  2. Step 2: Convert to fraction form
    33,609.04/50,419.04 = 10,230/x
  3. Step 3: Cross multiply
    33,609.04x = 50,419.04 × 10,230
  4. Step 4: Simplify right side
    33,609.04x = 515,786,779.20
  5. Step 5: Solve for x
    x = 515,786,779.20/33,609.04
  6. Step 6: Final answer
    x = 15,346.67

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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.