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Finding the Fourth Proportional to 31,046.20, 42,842.46 and 16,898.20

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Solution

The fourth proportional to 31,046.20, 42,842.46 and 16,898.20 is: 23,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.20 : 42,842.46 = 16,898.20 : x
  2. Step 2: Convert to fraction form
    31,046.20/42,842.46 = 16,898.20/x
  3. Step 3: Cross multiply
    31,046.20x = 42,842.46 × 16,898.20
  4. Step 4: Simplify right side
    31,046.20x = 723,960,457.57
  5. Step 5: Solve for x
    x = 723,960,457.57/31,046.20
  6. Step 6: Final answer
    x = 23,318.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.