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Finding the Fourth Proportional to 31,675.86, 43,713.27 and 17,530.02

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Solution

The fourth proportional to 31,675.86, 43,713.27 and 17,530.02 is: 24,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.86 : 43,713.27 = 17,530.02 : x
  2. Step 2: Convert to fraction form
    31,675.86/43,713.27 = 17,530.02/x
  3. Step 3: Cross multiply
    31,675.86x = 43,713.27 × 17,530.02
  4. Step 4: Simplify right side
    31,675.86x = 766,294,497.37
  5. Step 5: Solve for x
    x = 766,294,497.37/31,675.86
  6. Step 6: Final answer
    x = 24,191.75

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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.