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Finding the Fourth Proportional to 32,407.60, 48,611.40 and 18,410.80

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Solution

The fourth proportional to 32,407.60, 48,611.40 and 18,410.80 is: 27,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.60 : 48,611.40 = 18,410.80 : x
  2. Step 2: Convert to fraction form
    32,407.60/48,611.40 = 18,410.80/x
  3. Step 3: Cross multiply
    32,407.60x = 48,611.40 × 18,410.80
  4. Step 4: Simplify right side
    32,407.60x = 894,974,763.12
  5. Step 5: Solve for x
    x = 894,974,763.12/32,407.60
  6. Step 6: Final answer
    x = 27,616.20

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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.