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Finding the Fourth Proportional to 31,242, 43,114.50 and 17,095.08

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Solution

The fourth proportional to 31,242, 43,114.50 and 17,095.08 is: 23,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242 : 43,114.50 = 17,095.08 : x
  2. Step 2: Convert to fraction form
    31,242/43,114.50 = 17,095.08/x
  3. Step 3: Cross multiply
    31,242x = 43,114.50 × 17,095.08
  4. Step 4: Simplify right side
    31,242x = 737,045,826.66
  5. Step 5: Solve for x
    x = 737,045,826.66/31,242
  6. Step 6: Final answer
    x = 23,591.51

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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.