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Finding the Fourth Proportional to 30,289.14, 41,803.02 and 18,352.44

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Solution

The fourth proportional to 30,289.14, 41,803.02 and 18,352.44 is: 25,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.14 : 41,803.02 = 18,352.44 : x
  2. Step 2: Convert to fraction form
    30,289.14/41,803.02 = 18,352.44/x
  3. Step 3: Cross multiply
    30,289.14x = 41,803.02 × 18,352.44
  4. Step 4: Simplify right side
    30,289.14x = 767,187,416.37
  5. Step 5: Solve for x
    x = 767,187,416.37/30,289.14
  6. Step 6: Final answer
    x = 25,328.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.