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Finding the Fourth Proportional to 30,696.49, 42,358.21 and 18,771.88

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Solution

The fourth proportional to 30,696.49, 42,358.21 and 18,771.88 is: 25,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.49 : 42,358.21 = 18,771.88 : x
  2. Step 2: Convert to fraction form
    30,696.49/42,358.21 = 18,771.88/x
  3. Step 3: Cross multiply
    30,696.49x = 42,358.21 × 18,771.88
  4. Step 4: Simplify right side
    30,696.49x = 795,142,929.48
  5. Step 5: Solve for x
    x = 795,142,929.48/30,696.49
  6. Step 6: Final answer
    x = 25,903.38

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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.