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Finding the Fourth Proportional to 30,965.87, 42,732.07 and 17,538.39

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Solution

The fourth proportional to 30,965.87, 42,732.07 and 17,538.39 is: 24,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.87 : 42,732.07 = 17,538.39 : x
  2. Step 2: Convert to fraction form
    30,965.87/42,732.07 = 17,538.39/x
  3. Step 3: Cross multiply
    30,965.87x = 42,732.07 × 17,538.39
  4. Step 4: Simplify right side
    30,965.87x = 749,451,665.32
  5. Step 5: Solve for x
    x = 749,451,665.32/30,965.87
  6. Step 6: Final answer
    x = 24,202.50

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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.