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Finding the Fourth Proportional to 31,779.84, 47,617.92 and 16,176

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Solution

The fourth proportional to 31,779.84, 47,617.92 and 16,176 is: 24,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 47,617.92 = 16,176 : x
  2. Step 2: Convert to fraction form
    31,779.84/47,617.92 = 16,176/x
  3. Step 3: Cross multiply
    31,779.84x = 47,617.92 × 16,176
  4. Step 4: Simplify right side
    31,779.84x = 770,267,473.92
  5. Step 5: Solve for x
    x = 770,267,473.92/31,779.84
  6. Step 6: Final answer
    x = 24,237.61

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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.