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Finding the Fourth Proportional to 30,419.20, 45,628.80 and 20,051.20

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Solution

The fourth proportional to 30,419.20, 45,628.80 and 20,051.20 is: 30,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.20 : 45,628.80 = 20,051.20 : x
  2. Step 2: Convert to fraction form
    30,419.20/45,628.80 = 20,051.20/x
  3. Step 3: Cross multiply
    30,419.20x = 45,628.80 × 20,051.20
  4. Step 4: Simplify right side
    30,419.20x = 914,912,194.56
  5. Step 5: Solve for x
    x = 914,912,194.56/30,419.20
  6. Step 6: Final answer
    x = 30,076.80

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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.