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Finding the Fourth Proportional to 39,317, 54,257.46 and 21,653

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Solution

The fourth proportional to 39,317, 54,257.46 and 21,653 is: 29,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,317 : 54,257.46 = 21,653 : x
  2. Step 2: Convert to fraction form
    39,317/54,257.46 = 21,653/x
  3. Step 3: Cross multiply
    39,317x = 54,257.46 × 21,653
  4. Step 4: Simplify right side
    39,317x = 1,174,836,781.38
  5. Step 5: Solve for x
    x = 1,174,836,781.38/39,317
  6. Step 6: Final answer
    x = 29,881.14

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Why These Related Problems?

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