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Finding the Fourth Proportional to 35,140.82, 48,494.12 and 20,034.10

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Solution

The fourth proportional to 35,140.82, 48,494.12 and 20,034.10 is: 27,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.82 : 48,494.12 = 20,034.10 : x
  2. Step 2: Convert to fraction form
    35,140.82/48,494.12 = 20,034.10/x
  3. Step 3: Cross multiply
    35,140.82x = 48,494.12 × 20,034.10
  4. Step 4: Simplify right side
    35,140.82x = 971,536,049.49
  5. Step 5: Solve for x
    x = 971,536,049.49/35,140.82
  6. Step 6: Final answer
    x = 27,646.94

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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.