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Finding the Fourth Proportional to 31,270, 43,152.54 and 17,122.96

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Solution

The fourth proportional to 31,270, 43,152.54 and 17,122.96 is: 23,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,270 : 43,152.54 = 17,122.96 : x
  2. Step 2: Convert to fraction form
    31,270/43,152.54 = 17,122.96/x
  3. Step 3: Cross multiply
    31,270x = 43,152.54 × 17,122.96
  4. Step 4: Simplify right side
    31,270x = 738,899,216.32
  5. Step 5: Solve for x
    x = 738,899,216.32/31,270
  6. Step 6: Final answer
    x = 23,629.65

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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.