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Finding the Fourth Proportional to 31,080.62, 42,892.26 and 17,651.63

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Solution

The fourth proportional to 31,080.62, 42,892.26 and 17,651.63 is: 24,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080.62 : 42,892.26 = 17,651.63 : x
  2. Step 2: Convert to fraction form
    31,080.62/42,892.26 = 17,651.63/x
  3. Step 3: Cross multiply
    31,080.62x = 42,892.26 × 17,651.63
  4. Step 4: Simplify right side
    31,080.62x = 757,118,303.38
  5. Step 5: Solve for x
    x = 757,118,303.38/31,080.62
  6. Step 6: Final answer
    x = 24,359.82

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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.