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Finding the Fourth Proportional to 30,678.14, 45,957.07 and 15,896.76

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Solution

The fourth proportional to 30,678.14, 45,957.07 and 15,896.76 is: 23,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.14 : 45,957.07 = 15,896.76 : x
  2. Step 2: Convert to fraction form
    30,678.14/45,957.07 = 15,896.76/x
  3. Step 3: Cross multiply
    30,678.14x = 45,957.07 × 15,896.76
  4. Step 4: Simplify right side
    30,678.14x = 730,568,359.63
  5. Step 5: Solve for x
    x = 730,568,359.63/30,678.14
  6. Step 6: Final answer
    x = 23,813.97

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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.