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Finding the Fourth Proportional to 31,497.60, 43,466.75 and 17,157.39

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Solution

The fourth proportional to 31,497.60, 43,466.75 and 17,157.39 is: 23,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.60 : 43,466.75 = 17,157.39 : x
  2. Step 2: Convert to fraction form
    31,497.60/43,466.75 = 17,157.39/x
  3. Step 3: Cross multiply
    31,497.60x = 43,466.75 × 17,157.39
  4. Step 4: Simplify right side
    31,497.60x = 745,775,896.00
  5. Step 5: Solve for x
    x = 745,775,896.00/31,497.60
  6. Step 6: Final answer
    x = 23,677.23

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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.