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Finding the Fourth Proportional to 32,208.53, 48,290.15 and 14,188.20

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Solution

The fourth proportional to 32,208.53, 48,290.15 and 14,188.20 is: 21,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.53 : 48,290.15 = 14,188.20 : x
  2. Step 2: Convert to fraction form
    32,208.53/48,290.15 = 14,188.20/x
  3. Step 3: Cross multiply
    32,208.53x = 48,290.15 × 14,188.20
  4. Step 4: Simplify right side
    32,208.53x = 685,150,235.29
  5. Step 5: Solve for x
    x = 685,150,235.29/32,208.53
  6. Step 6: Final answer
    x = 21,272.33

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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.