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Finding the Fourth Proportional to 76,638.91, 114,963.23 and 24,050.47

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Solution

The fourth proportional to 76,638.91, 114,963.23 and 24,050.47 is: 36,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638.91 : 114,963.23 = 24,050.47 : x
  2. Step 2: Convert to fraction form
    76,638.91/114,963.23 = 24,050.47/x
  3. Step 3: Cross multiply
    76,638.91x = 114,963.23 × 24,050.47
  4. Step 4: Simplify right side
    76,638.91x = 2,764,919,306.56
  5. Step 5: Solve for x
    x = 2,764,919,306.56/76,638.91
  6. Step 6: Final answer
    x = 36,077.23

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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.