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Finding the Fourth Proportional to 32,007.87, 47,979 and 12,281.13

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Solution

The fourth proportional to 32,007.87, 47,979 and 12,281.13 is: 18,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.87 : 47,979 = 12,281.13 : x
  2. Step 2: Convert to fraction form
    32,007.87/47,979 = 12,281.13/x
  3. Step 3: Cross multiply
    32,007.87x = 47,979 × 12,281.13
  4. Step 4: Simplify right side
    32,007.87x = 589,236,336.27
  5. Step 5: Solve for x
    x = 589,236,336.27/32,007.87
  6. Step 6: Final answer
    x = 18,409.11

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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.