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Finding the Fourth Proportional to 31,548.80, 43,536.72 and 17,402

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Solution

The fourth proportional to 31,548.80, 43,536.72 and 17,402 is: 24,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.80 : 43,536.72 = 17,402 : x
  2. Step 2: Convert to fraction form
    31,548.80/43,536.72 = 17,402/x
  3. Step 3: Cross multiply
    31,548.80x = 43,536.72 × 17,402
  4. Step 4: Simplify right side
    31,548.80x = 757,626,001.44
  5. Step 5: Solve for x
    x = 757,626,001.44/31,548.80
  6. Step 6: Final answer
    x = 24,014.42

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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.