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Finding the Fourth Proportional to 53,856.18, 74,321.37 and 29,982.24

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Solution

The fourth proportional to 53,856.18, 74,321.37 and 29,982.24 is: 41,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.18 : 74,321.37 = 29,982.24 : x
  2. Step 2: Convert to fraction form
    53,856.18/74,321.37 = 29,982.24/x
  3. Step 3: Cross multiply
    53,856.18x = 74,321.37 × 29,982.24
  4. Step 4: Simplify right side
    53,856.18x = 2,228,321,152.47
  5. Step 5: Solve for x
    x = 2,228,321,152.47/53,856.18
  6. Step 6: Final answer
    x = 41,375.40

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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.