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Finding the Fourth Proportional to 30,603.58, 42,194.19 and 19,976.38

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Solution

The fourth proportional to 30,603.58, 42,194.19 and 19,976.38 is: 27,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.58 : 42,194.19 = 19,976.38 : x
  2. Step 2: Convert to fraction form
    30,603.58/42,194.19 = 19,976.38/x
  3. Step 3: Cross multiply
    30,603.58x = 42,194.19 × 19,976.38
  4. Step 4: Simplify right side
    30,603.58x = 842,887,173.23
  5. Step 5: Solve for x
    x = 842,887,173.23/30,603.58
  6. Step 6: Final answer
    x = 27,542.11

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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.