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Finding the Fourth Proportional to 30,950.78, 42,711.48 and 18,205.34

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Solution

The fourth proportional to 30,950.78, 42,711.48 and 18,205.34 is: 25,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.78 : 42,711.48 = 18,205.34 : x
  2. Step 2: Convert to fraction form
    30,950.78/42,711.48 = 18,205.34/x
  3. Step 3: Cross multiply
    30,950.78x = 42,711.48 × 18,205.34
  4. Step 4: Simplify right side
    30,950.78x = 777,576,801.75
  5. Step 5: Solve for x
    x = 777,576,801.75/30,950.78
  6. Step 6: Final answer
    x = 25,123.02

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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.