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Finding the Fourth Proportional to 32,172.56, 44,399 and 18,025.08

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Solution

The fourth proportional to 32,172.56, 44,399 and 18,025.08 is: 24,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.56 : 44,399 = 18,025.08 : x
  2. Step 2: Convert to fraction form
    32,172.56/44,399 = 18,025.08/x
  3. Step 3: Cross multiply
    32,172.56x = 44,399 × 18,025.08
  4. Step 4: Simplify right side
    32,172.56x = 800,295,526.92
  5. Step 5: Solve for x
    x = 800,295,526.92/32,172.56
  6. Step 6: Final answer
    x = 24,875.10

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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.