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Finding the Fourth Proportional to 32,469.60, 48,704.40 and 14,037.60

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Solution

The fourth proportional to 32,469.60, 48,704.40 and 14,037.60 is: 21,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.60 : 48,704.40 = 14,037.60 : x
  2. Step 2: Convert to fraction form
    32,469.60/48,704.40 = 14,037.60/x
  3. Step 3: Cross multiply
    32,469.60x = 48,704.40 × 14,037.60
  4. Step 4: Simplify right side
    32,469.60x = 683,692,885.44
  5. Step 5: Solve for x
    x = 683,692,885.44/32,469.60
  6. Step 6: Final answer
    x = 21,056.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.