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Finding the Fourth Proportional to 32,214.82, 48,316.58 and 8,522.60

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Solution

The fourth proportional to 32,214.82, 48,316.58 and 8,522.60 is: 12,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.82 : 48,316.58 = 8,522.60 : x
  2. Step 2: Convert to fraction form
    32,214.82/48,316.58 = 8,522.60/x
  3. Step 3: Cross multiply
    32,214.82x = 48,316.58 × 8,522.60
  4. Step 4: Simplify right side
    32,214.82x = 411,782,884.71
  5. Step 5: Solve for x
    x = 411,782,884.71/32,214.82
  6. Step 6: Final answer
    x = 12,782.41

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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.