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Finding the Fourth Proportional to 78,383.49, 108,200.24 and 54,524.01

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Solution

The fourth proportional to 78,383.49, 108,200.24 and 54,524.01 is: 75,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.49 : 108,200.24 = 54,524.01 : x
  2. Step 2: Convert to fraction form
    78,383.49/108,200.24 = 54,524.01/x
  3. Step 3: Cross multiply
    78,383.49x = 108,200.24 × 54,524.01
  4. Step 4: Simplify right side
    78,383.49x = 5,899,510,967.76
  5. Step 5: Solve for x
    x = 5,899,510,967.76/78,383.49
  6. Step 6: Final answer
    x = 75,264.71

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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.