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Finding the Fourth Proportional to 48,624, 72,957.96 and 27,847.50

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Solution

The fourth proportional to 48,624, 72,957.96 and 27,847.50 is: 41,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,624 : 72,957.96 = 27,847.50 : x
  2. Step 2: Convert to fraction form
    48,624/72,957.96 = 27,847.50/x
  3. Step 3: Cross multiply
    48,624x = 72,957.96 × 27,847.50
  4. Step 4: Simplify right side
    48,624x = 2,031,696,791.10
  5. Step 5: Solve for x
    x = 2,031,696,791.10/48,624
  6. Step 6: Final answer
    x = 41,783.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.