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Finding the Fourth Proportional to 31,779.32, 43,854 and 17,438.80

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Solution

The fourth proportional to 31,779.32, 43,854 and 17,438.80 is: 24,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.32 : 43,854 = 17,438.80 : x
  2. Step 2: Convert to fraction form
    31,779.32/43,854 = 17,438.80/x
  3. Step 3: Cross multiply
    31,779.32x = 43,854 × 17,438.80
  4. Step 4: Simplify right side
    31,779.32x = 764,761,135.20
  5. Step 5: Solve for x
    x = 764,761,135.20/31,779.32
  6. Step 6: Final answer
    x = 24,064.74

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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.