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Finding the Fourth Proportional to 58,199.50, 80,315.31 and 33,049

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Solution

The fourth proportional to 58,199.50, 80,315.31 and 33,049 is: 45,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,199.50 : 80,315.31 = 33,049 : x
  2. Step 2: Convert to fraction form
    58,199.50/80,315.31 = 33,049/x
  3. Step 3: Cross multiply
    58,199.50x = 80,315.31 × 33,049
  4. Step 4: Simplify right side
    58,199.50x = 2,654,340,680.19
  5. Step 5: Solve for x
    x = 2,654,340,680.19/58,199.50
  6. Step 6: Final answer
    x = 45,607.62

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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.