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Finding the Fourth Proportional to 31,204.62, 46,825.42 and 11,497

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Solution

The fourth proportional to 31,204.62, 46,825.42 and 11,497 is: 17,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.62 : 46,825.42 = 11,497 : x
  2. Step 2: Convert to fraction form
    31,204.62/46,825.42 = 11,497/x
  3. Step 3: Cross multiply
    31,204.62x = 46,825.42 × 11,497
  4. Step 4: Simplify right side
    31,204.62x = 538,351,853.74
  5. Step 5: Solve for x
    x = 538,351,853.74/31,204.62
  6. Step 6: Final answer
    x = 17,252.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.