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Finding the Fourth Proportional to 32,461, 44,797.52 and 18,313.84

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Solution

The fourth proportional to 32,461, 44,797.52 and 18,313.84 is: 25,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461 : 44,797.52 = 18,313.84 : x
  2. Step 2: Convert to fraction form
    32,461/44,797.52 = 18,313.84/x
  3. Step 3: Cross multiply
    32,461x = 44,797.52 × 18,313.84
  4. Step 4: Simplify right side
    32,461x = 820,414,613.68
  5. Step 5: Solve for x
    x = 820,414,613.68/32,461
  6. Step 6: Final answer
    x = 25,273.86

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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.