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Finding the Fourth Proportional to 50,829.84, 76,244.76 and 24,585.84

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Solution

The fourth proportional to 50,829.84, 76,244.76 and 24,585.84 is: 36,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,829.84 : 76,244.76 = 24,585.84 : x
  2. Step 2: Convert to fraction form
    50,829.84/76,244.76 = 24,585.84/x
  3. Step 3: Cross multiply
    50,829.84x = 76,244.76 × 24,585.84
  4. Step 4: Simplify right side
    50,829.84x = 1,874,541,470.20
  5. Step 5: Solve for x
    x = 1,874,541,470.20/50,829.84
  6. Step 6: Final answer
    x = 36,878.76

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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.