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Finding the Fourth Proportional to 31,767.74, 43,838.25 and 17,620.34

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Solution

The fourth proportional to 31,767.74, 43,838.25 and 17,620.34 is: 24,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.74 : 43,838.25 = 17,620.34 : x
  2. Step 2: Convert to fraction form
    31,767.74/43,838.25 = 17,620.34/x
  3. Step 3: Cross multiply
    31,767.74x = 43,838.25 × 17,620.34
  4. Step 4: Simplify right side
    31,767.74x = 772,444,870.01
  5. Step 5: Solve for x
    x = 772,444,870.01/31,767.74
  6. Step 6: Final answer
    x = 24,315.39

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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.