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Finding the Fourth Proportional to 30,538.81, 42,123 and 17,963.56

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Solution

The fourth proportional to 30,538.81, 42,123 and 17,963.56 is: 24,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.81 : 42,123 = 17,963.56 : x
  2. Step 2: Convert to fraction form
    30,538.81/42,123 = 17,963.56/x
  3. Step 3: Cross multiply
    30,538.81x = 42,123 × 17,963.56
  4. Step 4: Simplify right side
    30,538.81x = 756,679,037.88
  5. Step 5: Solve for x
    x = 756,679,037.88/30,538.81
  6. Step 6: Final answer
    x = 24,777.62

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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.