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Finding the Fourth Proportional to 30,842.30, 46,214.22 and 18,332.66

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Solution

The fourth proportional to 30,842.30, 46,214.22 and 18,332.66 is: 27,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.30 : 46,214.22 = 18,332.66 : x
  2. Step 2: Convert to fraction form
    30,842.30/46,214.22 = 18,332.66/x
  3. Step 3: Cross multiply
    30,842.30x = 46,214.22 × 18,332.66
  4. Step 4: Simplify right side
    30,842.30x = 847,229,582.43
  5. Step 5: Solve for x
    x = 847,229,582.43/30,842.30
  6. Step 6: Final answer
    x = 27,469.73

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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.