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Finding the Fourth Proportional to 30,452.16, 45,666.86 and 10,455.97

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Solution

The fourth proportional to 30,452.16, 45,666.86 and 10,455.97 is: 15,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.16 : 45,666.86 = 10,455.97 : x
  2. Step 2: Convert to fraction form
    30,452.16/45,666.86 = 10,455.97/x
  3. Step 3: Cross multiply
    30,452.16x = 45,666.86 × 10,455.97
  4. Step 4: Simplify right side
    30,452.16x = 477,491,318.15
  5. Step 5: Solve for x
    x = 477,491,318.15/30,452.16
  6. Step 6: Final answer
    x = 15,680.05

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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.