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Finding the Fourth Proportional to 35,950.17, 49,609.08 and 20,031.78

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Solution

The fourth proportional to 35,950.17, 49,609.08 and 20,031.78 is: 27,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,950.17 : 49,609.08 = 20,031.78 : x
  2. Step 2: Convert to fraction form
    35,950.17/49,609.08 = 20,031.78/x
  3. Step 3: Cross multiply
    35,950.17x = 49,609.08 × 20,031.78
  4. Step 4: Simplify right side
    35,950.17x = 993,758,176.56
  5. Step 5: Solve for x
    x = 993,758,176.56/35,950.17
  6. Step 6: Final answer
    x = 27,642.66

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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.