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Finding the Fourth Proportional to 31,779.84, 47,682.30 and 12,063.63

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Solution

The fourth proportional to 31,779.84, 47,682.30 and 12,063.63 is: 18,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 47,682.30 = 12,063.63 : x
  2. Step 2: Convert to fraction form
    31,779.84/47,682.30 = 12,063.63/x
  3. Step 3: Cross multiply
    31,779.84x = 47,682.30 × 12,063.63
  4. Step 4: Simplify right side
    31,779.84x = 575,221,624.75
  5. Step 5: Solve for x
    x = 575,221,624.75/31,779.84
  6. Step 6: Final answer
    x = 18,100.21

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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.