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Finding the Fourth Proportional to 31,093.71, 42,906.60 and 17,293.40

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Solution

The fourth proportional to 31,093.71, 42,906.60 and 17,293.40 is: 23,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.71 : 42,906.60 = 17,293.40 : x
  2. Step 2: Convert to fraction form
    31,093.71/42,906.60 = 17,293.40/x
  3. Step 3: Cross multiply
    31,093.71x = 42,906.60 × 17,293.40
  4. Step 4: Simplify right side
    31,093.71x = 742,000,825.14
  5. Step 5: Solve for x
    x = 742,000,825.14/31,093.71
  6. Step 6: Final answer
    x = 23,863.38

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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.