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Finding the Fourth Proportional to 32,339.68, 48,511.68 and 8,964.16

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Solution

The fourth proportional to 32,339.68, 48,511.68 and 8,964.16 is: 13,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,339.68 : 48,511.68 = 8,964.16 : x
  2. Step 2: Convert to fraction form
    32,339.68/48,511.68 = 8,964.16/x
  3. Step 3: Cross multiply
    32,339.68x = 48,511.68 × 8,964.16
  4. Step 4: Simplify right side
    32,339.68x = 434,866,461.39
  5. Step 5: Solve for x
    x = 434,866,461.39/32,339.68
  6. Step 6: Final answer
    x = 13,446.84

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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.