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Finding the Fourth Proportional to 75,383.16, 104,024.70 and 41,847

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Solution

The fourth proportional to 75,383.16, 104,024.70 and 41,847 is: 57,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,383.16 : 104,024.70 = 41,847 : x
  2. Step 2: Convert to fraction form
    75,383.16/104,024.70 = 41,847/x
  3. Step 3: Cross multiply
    75,383.16x = 104,024.70 × 41,847
  4. Step 4: Simplify right side
    75,383.16x = 4,353,121,620.90
  5. Step 5: Solve for x
    x = 4,353,121,620.90/75,383.16
  6. Step 6: Final answer
    x = 57,746.61

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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.