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Finding the Fourth Proportional to 31,673.80, 47,482.14 and 16,893.16

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Solution

The fourth proportional to 31,673.80, 47,482.14 and 16,893.16 is: 25,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.80 : 47,482.14 = 16,893.16 : x
  2. Step 2: Convert to fraction form
    31,673.80/47,482.14 = 16,893.16/x
  3. Step 3: Cross multiply
    31,673.80x = 47,482.14 × 16,893.16
  4. Step 4: Simplify right side
    31,673.80x = 802,123,388.16
  5. Step 5: Solve for x
    x = 802,123,388.16/31,673.80
  6. Step 6: Final answer
    x = 25,324.51

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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.