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Finding the Fourth Proportional to 31,741.77, 43,805.04 and 17,594.64

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Solution

The fourth proportional to 31,741.77, 43,805.04 and 17,594.64 is: 24,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,741.77 : 43,805.04 = 17,594.64 : x
  2. Step 2: Convert to fraction form
    31,741.77/43,805.04 = 17,594.64/x
  3. Step 3: Cross multiply
    31,741.77x = 43,805.04 × 17,594.64
  4. Step 4: Simplify right side
    31,741.77x = 770,733,908.99
  5. Step 5: Solve for x
    x = 770,733,908.99/31,741.77
  6. Step 6: Final answer
    x = 24,281.38

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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.