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Finding the Fourth Proportional to 32,114.46, 48,168.64 and 14,104.50

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Solution

The fourth proportional to 32,114.46, 48,168.64 and 14,104.50 is: 21,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.46 : 48,168.64 = 14,104.50 : x
  2. Step 2: Convert to fraction form
    32,114.46/48,168.64 = 14,104.50/x
  3. Step 3: Cross multiply
    32,114.46x = 48,168.64 × 14,104.50
  4. Step 4: Simplify right side
    32,114.46x = 679,394,582.88
  5. Step 5: Solve for x
    x = 679,394,582.88/32,114.46
  6. Step 6: Final answer
    x = 21,155.41

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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.