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Finding the Fourth Proportional to 32,143.08, 48,214.68 and 8,772.96

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Solution

The fourth proportional to 32,143.08, 48,214.68 and 8,772.96 is: 13,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.08 : 48,214.68 = 8,772.96 : x
  2. Step 2: Convert to fraction form
    32,143.08/48,214.68 = 8,772.96/x
  3. Step 3: Cross multiply
    32,143.08x = 48,214.68 × 8,772.96
  4. Step 4: Simplify right side
    32,143.08x = 422,985,459.05
  5. Step 5: Solve for x
    x = 422,985,459.05/32,143.08
  6. Step 6: Final answer
    x = 13,159.46

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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.