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Finding the Fourth Proportional to 30,650.82, 42,302.04 and 18,711.60

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Solution

The fourth proportional to 30,650.82, 42,302.04 and 18,711.60 is: 25,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.82 : 42,302.04 = 18,711.60 : x
  2. Step 2: Convert to fraction form
    30,650.82/42,302.04 = 18,711.60/x
  3. Step 3: Cross multiply
    30,650.82x = 42,302.04 × 18,711.60
  4. Step 4: Simplify right side
    30,650.82x = 791,538,851.66
  5. Step 5: Solve for x
    x = 791,538,851.66/30,650.82
  6. Step 6: Final answer
    x = 25,824.39

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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.