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Finding the Fourth Proportional to 81,703.12, 122,528.76 and 31,779.92

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Solution

The fourth proportional to 81,703.12, 122,528.76 and 31,779.92 is: 47,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.12 : 122,528.76 = 31,779.92 : x
  2. Step 2: Convert to fraction form
    81,703.12/122,528.76 = 31,779.92/x
  3. Step 3: Cross multiply
    81,703.12x = 122,528.76 × 31,779.92
  4. Step 4: Simplify right side
    81,703.12x = 3,893,954,190.50
  5. Step 5: Solve for x
    x = 3,893,954,190.50/81,703.12
  6. Step 6: Final answer
    x = 47,659.80

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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.