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Finding the Fourth Proportional to 35,141.56, 52,678.50 and 12,942.82

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Solution

The fourth proportional to 35,141.56, 52,678.50 and 12,942.82 is: 19,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.56 : 52,678.50 = 12,942.82 : x
  2. Step 2: Convert to fraction form
    35,141.56/52,678.50 = 12,942.82/x
  3. Step 3: Cross multiply
    35,141.56x = 52,678.50 × 12,942.82
  4. Step 4: Simplify right side
    35,141.56x = 681,808,343.37
  5. Step 5: Solve for x
    x = 681,808,343.37/35,141.56
  6. Step 6: Final answer
    x = 19,401.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.