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Finding the Fourth Proportional to 31,674.14, 47,478.11 and 10,596.84

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Solution

The fourth proportional to 31,674.14, 47,478.11 and 10,596.84 is: 15,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.14 : 47,478.11 = 10,596.84 : x
  2. Step 2: Convert to fraction form
    31,674.14/47,478.11 = 10,596.84/x
  3. Step 3: Cross multiply
    31,674.14x = 47,478.11 × 10,596.84
  4. Step 4: Simplify right side
    31,674.14x = 503,117,962.12
  5. Step 5: Solve for x
    x = 503,117,962.12/31,674.14
  6. Step 6: Final answer
    x = 15,884.19

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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.