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Finding the Fourth Proportional to 30,872.24, 46,313.24 and 11,148.76

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Solution

The fourth proportional to 30,872.24, 46,313.24 and 11,148.76 is: 16,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.24 : 46,313.24 = 11,148.76 : x
  2. Step 2: Convert to fraction form
    30,872.24/46,313.24 = 11,148.76/x
  3. Step 3: Cross multiply
    30,872.24x = 46,313.24 × 11,148.76
  4. Step 4: Simplify right side
    30,872.24x = 516,335,197.58
  5. Step 5: Solve for x
    x = 516,335,197.58/30,872.24
  6. Step 6: Final answer
    x = 16,724.90

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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.