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Finding the Fourth Proportional to 30,905.12, 46,342.33 and 9,842.41

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Solution

The fourth proportional to 30,905.12, 46,342.33 and 9,842.41 is: 14,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.12 : 46,342.33 = 9,842.41 : x
  2. Step 2: Convert to fraction form
    30,905.12/46,342.33 = 9,842.41/x
  3. Step 3: Cross multiply
    30,905.12x = 46,342.33 × 9,842.41
  4. Step 4: Simplify right side
    30,905.12x = 456,120,212.22
  5. Step 5: Solve for x
    x = 456,120,212.22/30,905.12
  6. Step 6: Final answer
    x = 14,758.73

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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.