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Finding the Fourth Proportional to 50,827.84, 76,241.76 and 24,583.84

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Solution

The fourth proportional to 50,827.84, 76,241.76 and 24,583.84 is: 36,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,827.84 : 76,241.76 = 24,583.84 : x
  2. Step 2: Convert to fraction form
    50,827.84/76,241.76 = 24,583.84/x
  3. Step 3: Cross multiply
    50,827.84x = 76,241.76 × 24,583.84
  4. Step 4: Simplify right side
    50,827.84x = 1,874,314,946.36
  5. Step 5: Solve for x
    x = 1,874,314,946.36/50,827.84
  6. Step 6: Final answer
    x = 36,875.76

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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.