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Finding the Fourth Proportional to 32,078.88, 48,116.40 and 8,704.80

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Solution

The fourth proportional to 32,078.88, 48,116.40 and 8,704.80 is: 13,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.88 : 48,116.40 = 8,704.80 : x
  2. Step 2: Convert to fraction form
    32,078.88/48,116.40 = 8,704.80/x
  3. Step 3: Cross multiply
    32,078.88x = 48,116.40 × 8,704.80
  4. Step 4: Simplify right side
    32,078.88x = 418,843,638.72
  5. Step 5: Solve for x
    x = 418,843,638.72/32,078.88
  6. Step 6: Final answer
    x = 13,056.68

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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.