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Finding the Fourth Proportional to 31,596.12, 43,602.84 and 17,449.02

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Solution

The fourth proportional to 31,596.12, 43,602.84 and 17,449.02 is: 24,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.12 : 43,602.84 = 17,449.02 : x
  2. Step 2: Convert to fraction form
    31,596.12/43,602.84 = 17,449.02/x
  3. Step 3: Cross multiply
    31,596.12x = 43,602.84 × 17,449.02
  4. Step 4: Simplify right side
    31,596.12x = 760,826,827.22
  5. Step 5: Solve for x
    x = 760,826,827.22/31,596.12
  6. Step 6: Final answer
    x = 24,079.75

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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.