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Finding the Fourth Proportional to 31,405.28, 43,339.32 and 17,258.96

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Solution

The fourth proportional to 31,405.28, 43,339.32 and 17,258.96 is: 23,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.28 : 43,339.32 = 17,258.96 : x
  2. Step 2: Convert to fraction form
    31,405.28/43,339.32 = 17,258.96/x
  3. Step 3: Cross multiply
    31,405.28x = 43,339.32 × 17,258.96
  4. Step 4: Simplify right side
    31,405.28x = 747,991,590.31
  5. Step 5: Solve for x
    x = 747,991,590.31/31,405.28
  6. Step 6: Final answer
    x = 23,817.38

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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.