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Finding the Fourth Proportional to 30,906.36, 42,651.36 and 18,338.40

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Solution

The fourth proportional to 30,906.36, 42,651.36 and 18,338.40 is: 25,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.36 : 42,651.36 = 18,338.40 : x
  2. Step 2: Convert to fraction form
    30,906.36/42,651.36 = 18,338.40/x
  3. Step 3: Cross multiply
    30,906.36x = 42,651.36 × 18,338.40
  4. Step 4: Simplify right side
    30,906.36x = 782,157,700.22
  5. Step 5: Solve for x
    x = 782,157,700.22/30,906.36
  6. Step 6: Final answer
    x = 25,307.34

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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.