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Finding the Fourth Proportional to 32,744.40, 49,006.17 and 27,430.80

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Solution

The fourth proportional to 32,744.40, 49,006.17 and 27,430.80 is: 41,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.40 : 49,006.17 = 27,430.80 : x
  2. Step 2: Convert to fraction form
    32,744.40/49,006.17 = 27,430.80/x
  3. Step 3: Cross multiply
    32,744.40x = 49,006.17 × 27,430.80
  4. Step 4: Simplify right side
    32,744.40x = 1,344,278,448.04
  5. Step 5: Solve for x
    x = 1,344,278,448.04/32,744.40
  6. Step 6: Final answer
    x = 41,053.69

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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.