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Finding the Fourth Proportional to 50,552.64, 75,820.32 and 13,608

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Solution

The fourth proportional to 50,552.64, 75,820.32 and 13,608 is: 20,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,552.64 : 75,820.32 = 13,608 : x
  2. Step 2: Convert to fraction form
    50,552.64/75,820.32 = 13,608/x
  3. Step 3: Cross multiply
    50,552.64x = 75,820.32 × 13,608
  4. Step 4: Simplify right side
    50,552.64x = 1,031,762,914.56
  5. Step 5: Solve for x
    x = 1,031,762,914.56/50,552.64
  6. Step 6: Final answer
    x = 20,409.67

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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.