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Finding the Fourth Proportional to 50,782.62, 76,123.74 and 24,081.78

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Solution

The fourth proportional to 50,782.62, 76,123.74 and 24,081.78 is: 36,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.62 : 76,123.74 = 24,081.78 : x
  2. Step 2: Convert to fraction form
    50,782.62/76,123.74 = 24,081.78/x
  3. Step 3: Cross multiply
    50,782.62x = 76,123.74 × 24,081.78
  4. Step 4: Simplify right side
    50,782.62x = 1,833,195,159.46
  5. Step 5: Solve for x
    x = 1,833,195,159.46/50,782.62
  6. Step 6: Final answer
    x = 36,098.87

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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.