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Finding the Fourth Proportional to 38,617.31, 53,292.70 and 21,850.31

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Solution

The fourth proportional to 38,617.31, 53,292.70 and 21,850.31 is: 30,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617.31 : 53,292.70 = 21,850.31 : x
  2. Step 2: Convert to fraction form
    38,617.31/53,292.70 = 21,850.31/x
  3. Step 3: Cross multiply
    38,617.31x = 53,292.70 × 21,850.31
  4. Step 4: Simplify right side
    38,617.31x = 1,164,462,176.28
  5. Step 5: Solve for x
    x = 1,164,462,176.28/38,617.31
  6. Step 6: Final answer
    x = 30,153.89

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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.