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Finding the Fourth Proportional to 31,094.25, 42,911.07 and 17,665.26

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Solution

The fourth proportional to 31,094.25, 42,911.07 and 17,665.26 is: 24,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.25 : 42,911.07 = 17,665.26 : x
  2. Step 2: Convert to fraction form
    31,094.25/42,911.07 = 17,665.26/x
  3. Step 3: Cross multiply
    31,094.25x = 42,911.07 × 17,665.26
  4. Step 4: Simplify right side
    31,094.25x = 758,034,905.55
  5. Step 5: Solve for x
    x = 758,034,905.55/31,094.25
  6. Step 6: Final answer
    x = 24,378.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.