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Finding the Fourth Proportional to 30,566.87, 45,841.41 and 11,842.73

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Solution

The fourth proportional to 30,566.87, 45,841.41 and 11,842.73 is: 17,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.87 : 45,841.41 = 11,842.73 : x
  2. Step 2: Convert to fraction form
    30,566.87/45,841.41 = 11,842.73/x
  3. Step 3: Cross multiply
    30,566.87x = 45,841.41 × 11,842.73
  4. Step 4: Simplify right side
    30,566.87x = 542,887,441.45
  5. Step 5: Solve for x
    x = 542,887,441.45/30,566.87
  6. Step 6: Final answer
    x = 17,760.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.