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Finding the Fourth Proportional to 31,924.80, 44,055.36 and 17,776.80

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Solution

The fourth proportional to 31,924.80, 44,055.36 and 17,776.80 is: 24,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.80 : 44,055.36 = 17,776.80 : x
  2. Step 2: Convert to fraction form
    31,924.80/44,055.36 = 17,776.80/x
  3. Step 3: Cross multiply
    31,924.80x = 44,055.36 × 17,776.80
  4. Step 4: Simplify right side
    31,924.80x = 783,163,323.65
  5. Step 5: Solve for x
    x = 783,163,323.65/31,924.80
  6. Step 6: Final answer
    x = 24,531.50

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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.