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Finding the Fourth Proportional to 35,946.90, 49,608.24 and 20,031.30

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Solution

The fourth proportional to 35,946.90, 49,608.24 and 20,031.30 is: 27,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,946.90 : 49,608.24 = 20,031.30 : x
  2. Step 2: Convert to fraction form
    35,946.90/49,608.24 = 20,031.30/x
  3. Step 3: Cross multiply
    35,946.90x = 49,608.24 × 20,031.30
  4. Step 4: Simplify right side
    35,946.90x = 993,717,537.91
  5. Step 5: Solve for x
    x = 993,717,537.91/35,946.90
  6. Step 6: Final answer
    x = 27,644.04

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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.