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Finding the Fourth Proportional to 31,294, 43,185.72 and 17,147.40

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Solution

The fourth proportional to 31,294, 43,185.72 and 17,147.40 is: 23,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294 : 43,185.72 = 17,147.40 : x
  2. Step 2: Convert to fraction form
    31,294/43,185.72 = 17,147.40/x
  3. Step 3: Cross multiply
    31,294x = 43,185.72 × 17,147.40
  4. Step 4: Simplify right side
    31,294x = 740,522,815.13
  5. Step 5: Solve for x
    x = 740,522,815.13/31,294
  6. Step 6: Final answer
    x = 23,663.41

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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.