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Finding the Fourth Proportional to 32,188.25, 48,292.45 and 14,433.80

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Solution

The fourth proportional to 32,188.25, 48,292.45 and 14,433.80 is: 21,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.25 : 48,292.45 = 14,433.80 : x
  2. Step 2: Convert to fraction form
    32,188.25/48,292.45 = 14,433.80/x
  3. Step 3: Cross multiply
    32,188.25x = 48,292.45 × 14,433.80
  4. Step 4: Simplify right side
    32,188.25x = 697,043,287.26
  5. Step 5: Solve for x
    x = 697,043,287.26/32,188.25
  6. Step 6: Final answer
    x = 21,655.21

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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.