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Finding the Fourth Proportional to 30,566.37, 45,840.66 and 11,842.23

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Solution

The fourth proportional to 30,566.37, 45,840.66 and 11,842.23 is: 17,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.37 : 45,840.66 = 11,842.23 : x
  2. Step 2: Convert to fraction form
    30,566.37/45,840.66 = 11,842.23/x
  3. Step 3: Cross multiply
    30,566.37x = 45,840.66 × 11,842.23
  4. Step 4: Simplify right side
    30,566.37x = 542,855,639.07
  5. Step 5: Solve for x
    x = 542,855,639.07/30,566.37
  6. Step 6: Final answer
    x = 17,759.90

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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.