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Finding the Fourth Proportional to 31,459.55, 43,414.13 and 17,312.39

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Solution

The fourth proportional to 31,459.55, 43,414.13 and 17,312.39 is: 23,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.55 : 43,414.13 = 17,312.39 : x
  2. Step 2: Convert to fraction form
    31,459.55/43,414.13 = 17,312.39/x
  3. Step 3: Cross multiply
    31,459.55x = 43,414.13 × 17,312.39
  4. Step 4: Simplify right side
    31,459.55x = 751,602,046.44
  5. Step 5: Solve for x
    x = 751,602,046.44/31,459.55
  6. Step 6: Final answer
    x = 23,891.07

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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.