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Finding the Fourth Proportional to 31,808.70, 47,674.65 and 16,218.30

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Solution

The fourth proportional to 31,808.70, 47,674.65 and 16,218.30 is: 24,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.70 : 47,674.65 = 16,218.30 : x
  2. Step 2: Convert to fraction form
    31,808.70/47,674.65 = 16,218.30/x
  3. Step 3: Cross multiply
    31,808.70x = 47,674.65 × 16,218.30
  4. Step 4: Simplify right side
    31,808.70x = 773,201,776.10
  5. Step 5: Solve for x
    x = 773,201,776.10/31,808.70
  6. Step 6: Final answer
    x = 24,307.87

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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.