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Finding the Fourth Proportional to 80,172.46, 120,228.50 and 32,762.17

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Solution

The fourth proportional to 80,172.46, 120,228.50 and 32,762.17 is: 49,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,172.46 : 120,228.50 = 32,762.17 : x
  2. Step 2: Convert to fraction form
    80,172.46/120,228.50 = 32,762.17/x
  3. Step 3: Cross multiply
    80,172.46x = 120,228.50 × 32,762.17
  4. Step 4: Simplify right side
    80,172.46x = 3,938,946,788.04
  5. Step 5: Solve for x
    x = 3,938,946,788.04/80,172.46
  6. Step 6: Final answer
    x = 49,130.92

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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.