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Finding the Fourth Proportional to 30,538.60, 42,151.64 and 18,601.83

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Solution

The fourth proportional to 30,538.60, 42,151.64 and 18,601.83 is: 25,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.60 : 42,151.64 = 18,601.83 : x
  2. Step 2: Convert to fraction form
    30,538.60/42,151.64 = 18,601.83/x
  3. Step 3: Cross multiply
    30,538.60x = 42,151.64 × 18,601.83
  4. Step 4: Simplify right side
    30,538.60x = 784,097,548.49
  5. Step 5: Solve for x
    x = 784,097,548.49/30,538.60
  6. Step 6: Final answer
    x = 25,675.62

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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.