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Finding the Fourth Proportional to 30,031.93, 41,445.23 and 19,942.98

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Solution

The fourth proportional to 30,031.93, 41,445.23 and 19,942.98 is: 27,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.93 : 41,445.23 = 19,942.98 : x
  2. Step 2: Convert to fraction form
    30,031.93/41,445.23 = 19,942.98/x
  3. Step 3: Cross multiply
    30,031.93x = 41,445.23 × 19,942.98
  4. Step 4: Simplify right side
    30,031.93x = 826,541,392.99
  5. Step 5: Solve for x
    x = 826,541,392.99/30,031.93
  6. Step 6: Final answer
    x = 27,522.09

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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.