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Finding the Fourth Proportional to 32,215.12, 48,320.96 and 8,841.60

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Solution

The fourth proportional to 32,215.12, 48,320.96 and 8,841.60 is: 13,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.12 : 48,320.96 = 8,841.60 : x
  2. Step 2: Convert to fraction form
    32,215.12/48,320.96 = 8,841.60/x
  3. Step 3: Cross multiply
    32,215.12x = 48,320.96 × 8,841.60
  4. Step 4: Simplify right side
    32,215.12x = 427,234,599.94
  5. Step 5: Solve for x
    x = 427,234,599.94/32,215.12
  6. Step 6: Final answer
    x = 13,261.93

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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.