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Finding the Fourth Proportional to 82,140.36, 123,407.36 and 52,615.86

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Solution

The fourth proportional to 82,140.36, 123,407.36 and 52,615.86 is: 79,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,140.36 : 123,407.36 = 52,615.86 : x
  2. Step 2: Convert to fraction form
    82,140.36/123,407.36 = 52,615.86/x
  3. Step 3: Cross multiply
    82,140.36x = 123,407.36 × 52,615.86
  4. Step 4: Simplify right side
    82,140.36x = 6,493,184,376.73
  5. Step 5: Solve for x
    x = 6,493,184,376.73/82,140.36
  6. Step 6: Final answer
    x = 79,049.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.