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Finding the Fourth Proportional to 32,342.40, 48,499.20 and 14,817.60

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Solution

The fourth proportional to 32,342.40, 48,499.20 and 14,817.60 is: 22,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,342.40 : 48,499.20 = 14,817.60 : x
  2. Step 2: Convert to fraction form
    32,342.40/48,499.20 = 14,817.60/x
  3. Step 3: Cross multiply
    32,342.40x = 48,499.20 × 14,817.60
  4. Step 4: Simplify right side
    32,342.40x = 718,641,745.92
  5. Step 5: Solve for x
    x = 718,641,745.92/32,342.40
  6. Step 6: Final answer
    x = 22,219.80

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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.