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Finding the Fourth Proportional to 55,246.30, 82,869.45 and 24,142.30

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Solution

The fourth proportional to 55,246.30, 82,869.45 and 24,142.30 is: 36,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246.30 : 82,869.45 = 24,142.30 : x
  2. Step 2: Convert to fraction form
    55,246.30/82,869.45 = 24,142.30/x
  3. Step 3: Cross multiply
    55,246.30x = 82,869.45 × 24,142.30
  4. Step 4: Simplify right side
    55,246.30x = 2,000,659,122.74
  5. Step 5: Solve for x
    x = 2,000,659,122.74/55,246.30
  6. Step 6: Final answer
    x = 36,213.45

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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.