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Finding the Fourth Proportional to 32,205.10, 48,307.66 and 8,512.60

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Solution

The fourth proportional to 32,205.10, 48,307.66 and 8,512.60 is: 12,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.10 : 48,307.66 = 8,512.60 : x
  2. Step 2: Convert to fraction form
    32,205.10/48,307.66 = 8,512.60/x
  3. Step 3: Cross multiply
    32,205.10x = 48,307.66 × 8,512.60
  4. Step 4: Simplify right side
    32,205.10x = 411,223,786.52
  5. Step 5: Solve for x
    x = 411,223,786.52/32,205.10
  6. Step 6: Final answer
    x = 12,768.90

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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.