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Finding the Fourth Proportional to 30,452.38, 45,667.19 and 10,456.19

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Solution

The fourth proportional to 30,452.38, 45,667.19 and 10,456.19 is: 15,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.38 : 45,667.19 = 10,456.19 : x
  2. Step 2: Convert to fraction form
    30,452.38/45,667.19 = 10,456.19/x
  3. Step 3: Cross multiply
    30,452.38x = 45,667.19 × 10,456.19
  4. Step 4: Simplify right side
    30,452.38x = 477,504,955.71
  5. Step 5: Solve for x
    x = 477,504,955.71/30,452.38
  6. Step 6: Final answer
    x = 15,680.38

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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.