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Finding the Fourth Proportional to 32,282.92, 48,433.02 and 12,567.16

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Solution

The fourth proportional to 32,282.92, 48,433.02 and 12,567.16 is: 18,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.92 : 48,433.02 = 12,567.16 : x
  2. Step 2: Convert to fraction form
    32,282.92/48,433.02 = 12,567.16/x
  3. Step 3: Cross multiply
    32,282.92x = 48,433.02 × 12,567.16
  4. Step 4: Simplify right side
    32,282.92x = 608,665,511.62
  5. Step 5: Solve for x
    x = 608,665,511.62/32,282.92
  6. Step 6: Final answer
    x = 18,854.10

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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.