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Finding the Fourth Proportional to 69,835.64, 96,383.10 and 39,628.40

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Solution

The fourth proportional to 69,835.64, 96,383.10 and 39,628.40 is: 54,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835.64 : 96,383.10 = 39,628.40 : x
  2. Step 2: Convert to fraction form
    69,835.64/96,383.10 = 39,628.40/x
  3. Step 3: Cross multiply
    69,835.64x = 96,383.10 × 39,628.40
  4. Step 4: Simplify right side
    69,835.64x = 3,819,508,040.04
  5. Step 5: Solve for x
    x = 3,819,508,040.04/69,835.64
  6. Step 6: Final answer
    x = 54,692.82

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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.