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Finding the Fourth Proportional to 30,697.88, 42,339.08 and 19,946.22

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Solution

The fourth proportional to 30,697.88, 42,339.08 and 19,946.22 is: 27,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.88 : 42,339.08 = 19,946.22 : x
  2. Step 2: Convert to fraction form
    30,697.88/42,339.08 = 19,946.22/x
  3. Step 3: Cross multiply
    30,697.88x = 42,339.08 × 19,946.22
  4. Step 4: Simplify right side
    30,697.88x = 844,504,654.14
  5. Step 5: Solve for x
    x = 844,504,654.14/30,697.88
  6. Step 6: Final answer
    x = 27,510.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.