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Finding the Fourth Proportional to 38,887.92, 53,616 and 29,823.84

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Solution

The fourth proportional to 38,887.92, 53,616 and 29,823.84 is: 41,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,887.92 : 53,616 = 29,823.84 : x
  2. Step 2: Convert to fraction form
    38,887.92/53,616 = 29,823.84/x
  3. Step 3: Cross multiply
    38,887.92x = 53,616 × 29,823.84
  4. Step 4: Simplify right side
    38,887.92x = 1,599,035,005.44
  5. Step 5: Solve for x
    x = 1,599,035,005.44/38,887.92
  6. Step 6: Final answer
    x = 41,119.07

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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.