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Finding the Fourth Proportional to 31,703.30, 43,779.64 and 20,399.24

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Solution

The fourth proportional to 31,703.30, 43,779.64 and 20,399.24 is: 28,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.30 : 43,779.64 = 20,399.24 : x
  2. Step 2: Convert to fraction form
    31,703.30/43,779.64 = 20,399.24/x
  3. Step 3: Cross multiply
    31,703.30x = 43,779.64 × 20,399.24
  4. Step 4: Simplify right side
    31,703.30x = 893,071,480.17
  5. Step 5: Solve for x
    x = 893,071,480.17/31,703.30
  6. Step 6: Final answer
    x = 28,169.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.