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Finding the Fourth Proportional to 30,031.81, 41,445.06 and 19,942.85

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Solution

The fourth proportional to 30,031.81, 41,445.06 and 19,942.85 is: 27,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.81 : 41,445.06 = 19,942.85 : x
  2. Step 2: Convert to fraction form
    30,031.81/41,445.06 = 19,942.85/x
  3. Step 3: Cross multiply
    30,031.81x = 41,445.06 × 19,942.85
  4. Step 4: Simplify right side
    30,031.81x = 826,532,614.82
  5. Step 5: Solve for x
    x = 826,532,614.82/30,031.81
  6. Step 6: Final answer
    x = 27,521.90

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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.