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Finding the Fourth Proportional to 120,541.60, 180,812.40 and 32,989.60

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Solution

The fourth proportional to 120,541.60, 180,812.40 and 32,989.60 is: 49,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,541.60 : 180,812.40 = 32,989.60 : x
  2. Step 2: Convert to fraction form
    120,541.60/180,812.40 = 32,989.60/x
  3. Step 3: Cross multiply
    120,541.60x = 180,812.40 × 32,989.60
  4. Step 4: Simplify right side
    120,541.60x = 5,964,928,751.04
  5. Step 5: Solve for x
    x = 5,964,928,751.04/120,541.60
  6. Step 6: Final answer
    x = 49,484.40

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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.