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Finding the Fourth Proportional to 31,525.77, 43,505.10 and 17,378.31

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Solution

The fourth proportional to 31,525.77, 43,505.10 and 17,378.31 is: 23,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.77 : 43,505.10 = 17,378.31 : x
  2. Step 2: Convert to fraction form
    31,525.77/43,505.10 = 17,378.31/x
  3. Step 3: Cross multiply
    31,525.77x = 43,505.10 × 17,378.31
  4. Step 4: Simplify right side
    31,525.77x = 756,045,114.38
  5. Step 5: Solve for x
    x = 756,045,114.38/31,525.77
  6. Step 6: Final answer
    x = 23,981.81

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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.