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Finding the Fourth Proportional to 82,353.70, 123,727.38 and 52,829.20

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Solution

The fourth proportional to 82,353.70, 123,727.38 and 52,829.20 is: 79,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.70 : 123,727.38 = 52,829.20 : x
  2. Step 2: Convert to fraction form
    82,353.70/123,727.38 = 52,829.20/x
  3. Step 3: Cross multiply
    82,353.70x = 123,727.38 × 52,829.20
  4. Step 4: Simplify right side
    82,353.70x = 6,536,418,503.50
  5. Step 5: Solve for x
    x = 6,536,418,503.50/82,353.70
  6. Step 6: Final answer
    x = 79,370.06

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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.