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Finding the Fourth Proportional to 31,779.83, 47,661.74 and 13,065.08

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Solution

The fourth proportional to 31,779.83, 47,661.74 and 13,065.08 is: 19,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.83 : 47,661.74 = 13,065.08 : x
  2. Step 2: Convert to fraction form
    31,779.83/47,661.74 = 13,065.08/x
  3. Step 3: Cross multiply
    31,779.83x = 47,661.74 × 13,065.08
  4. Step 4: Simplify right side
    31,779.83x = 622,704,446.04
  5. Step 5: Solve for x
    x = 622,704,446.04/31,779.83
  6. Step 6: Final answer
    x = 19,594.33

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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.