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Finding the Fourth Proportional to 32,168.94, 48,263.34 and 14,414.55

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Solution

The fourth proportional to 32,168.94, 48,263.34 and 14,414.55 is: 21,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168.94 : 48,263.34 = 14,414.55 : x
  2. Step 2: Convert to fraction form
    32,168.94/48,263.34 = 14,414.55/x
  3. Step 3: Cross multiply
    32,168.94x = 48,263.34 × 14,414.55
  4. Step 4: Simplify right side
    32,168.94x = 695,694,327.60
  5. Step 5: Solve for x
    x = 695,694,327.60/32,168.94
  6. Step 6: Final answer
    x = 21,626.27

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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.