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Finding the Fourth Proportional to 30,567.83, 45,842.16 and 11,846.57

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Solution

The fourth proportional to 30,567.83, 45,842.16 and 11,846.57 is: 17,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.83 : 45,842.16 = 11,846.57 : x
  2. Step 2: Convert to fraction form
    30,567.83/45,842.16 = 11,846.57/x
  3. Step 3: Cross multiply
    30,567.83x = 45,842.16 × 11,846.57
  4. Step 4: Simplify right side
    30,567.83x = 543,072,357.39
  5. Step 5: Solve for x
    x = 543,072,357.39/30,567.83
  6. Step 6: Final answer
    x = 17,766.14

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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.