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Finding the Fourth Proportional to 31,185.32, 46,779.60 and 15,597.68

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Solution

The fourth proportional to 31,185.32, 46,779.60 and 15,597.68 is: 23,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.32 : 46,779.60 = 15,597.68 : x
  2. Step 2: Convert to fraction form
    31,185.32/46,779.60 = 15,597.68/x
  3. Step 3: Cross multiply
    31,185.32x = 46,779.60 × 15,597.68
  4. Step 4: Simplify right side
    31,185.32x = 729,653,231.33
  5. Step 5: Solve for x
    x = 729,653,231.33/31,185.32
  6. Step 6: Final answer
    x = 23,397.33

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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.