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Finding the Fourth Proportional to 30,882.38, 46,322.48 and 13,101.62

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Solution

The fourth proportional to 30,882.38, 46,322.48 and 13,101.62 is: 19,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.38 : 46,322.48 = 13,101.62 : x
  2. Step 2: Convert to fraction form
    30,882.38/46,322.48 = 13,101.62/x
  3. Step 3: Cross multiply
    30,882.38x = 46,322.48 × 13,101.62
  4. Step 4: Simplify right side
    30,882.38x = 606,899,530.42
  5. Step 5: Solve for x
    x = 606,899,530.42/30,882.38
  6. Step 6: Final answer
    x = 19,651.97

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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.