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Finding the Fourth Proportional to 31,674.32, 47,497.44 and 16,880.48

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Solution

The fourth proportional to 31,674.32, 47,497.44 and 16,880.48 is: 25,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.32 : 47,497.44 = 16,880.48 : x
  2. Step 2: Convert to fraction form
    31,674.32/47,497.44 = 16,880.48/x
  3. Step 3: Cross multiply
    31,674.32x = 47,497.44 × 16,880.48
  4. Step 4: Simplify right side
    31,674.32x = 801,779,585.97
  5. Step 5: Solve for x
    x = 801,779,585.97/31,674.32
  6. Step 6: Final answer
    x = 25,313.24

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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.