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Finding the Fourth Proportional to 30,696.99, 42,358.89 and 18,772.38

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Solution

The fourth proportional to 30,696.99, 42,358.89 and 18,772.38 is: 25,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.99 : 42,358.89 = 18,772.38 : x
  2. Step 2: Convert to fraction form
    30,696.99/42,358.89 = 18,772.38/x
  3. Step 3: Cross multiply
    30,696.99x = 42,358.89 × 18,772.38
  4. Step 4: Simplify right side
    30,696.99x = 795,177,179.46
  5. Step 5: Solve for x
    x = 795,177,179.46/30,696.99
  6. Step 6: Final answer
    x = 25,904.08

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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.