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Finding the Fourth Proportional to 31,782.36, 43,853.06 and 17,632.20

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Solution

The fourth proportional to 31,782.36, 43,853.06 and 17,632.20 is: 24,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.36 : 43,853.06 = 17,632.20 : x
  2. Step 2: Convert to fraction form
    31,782.36/43,853.06 = 17,632.20/x
  3. Step 3: Cross multiply
    31,782.36x = 43,853.06 × 17,632.20
  4. Step 4: Simplify right side
    31,782.36x = 773,225,924.53
  5. Step 5: Solve for x
    x = 773,225,924.53/31,782.36
  6. Step 6: Final answer
    x = 24,328.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.