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Finding the Fourth Proportional to 82,747.82, 113,903.60 and 72,119

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Solution

The fourth proportional to 82,747.82, 113,903.60 and 72,119 is: 99,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,747.82 : 113,903.60 = 72,119 : x
  2. Step 2: Convert to fraction form
    82,747.82/113,903.60 = 72,119/x
  3. Step 3: Cross multiply
    82,747.82x = 113,903.60 × 72,119
  4. Step 4: Simplify right side
    82,747.82x = 8,214,613,728.40
  5. Step 5: Solve for x
    x = 8,214,613,728.40/82,747.82
  6. Step 6: Final answer
    x = 99,272.87

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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.