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Finding the Fourth Proportional to 32,347.24, 44,639 and 18,200.16

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Solution

The fourth proportional to 32,347.24, 44,639 and 18,200.16 is: 25,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.24 : 44,639 = 18,200.16 : x
  2. Step 2: Convert to fraction form
    32,347.24/44,639 = 18,200.16/x
  3. Step 3: Cross multiply
    32,347.24x = 44,639 × 18,200.16
  4. Step 4: Simplify right side
    32,347.24x = 812,436,942.24
  5. Step 5: Solve for x
    x = 812,436,942.24/32,347.24
  6. Step 6: Final answer
    x = 25,116.11

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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.