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Finding the Fourth Proportional to 31,055, 42,855.72 and 17,628.80

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Solution

The fourth proportional to 31,055, 42,855.72 and 17,628.80 is: 24,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055 : 42,855.72 = 17,628.80 : x
  2. Step 2: Convert to fraction form
    31,055/42,855.72 = 17,628.80/x
  3. Step 3: Cross multiply
    31,055x = 42,855.72 × 17,628.80
  4. Step 4: Simplify right side
    31,055x = 755,494,916.74
  5. Step 5: Solve for x
    x = 755,494,916.74/31,055
  6. Step 6: Final answer
    x = 24,327.64

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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.