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Finding the Fourth Proportional to 31,744.52, 47,626.65 and 13,026.08

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Solution

The fourth proportional to 31,744.52, 47,626.65 and 13,026.08 is: 19,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.52 : 47,626.65 = 13,026.08 : x
  2. Step 2: Convert to fraction form
    31,744.52/47,626.65 = 13,026.08/x
  3. Step 3: Cross multiply
    31,744.52x = 47,626.65 × 13,026.08
  4. Step 4: Simplify right side
    31,744.52x = 620,388,553.03
  5. Step 5: Solve for x
    x = 620,388,553.03/31,744.52
  6. Step 6: Final answer
    x = 19,543.17

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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.