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Finding the Fourth Proportional to 48,673, 73,009.50 and 11,737

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Solution

The fourth proportional to 48,673, 73,009.50 and 11,737 is: 17,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,673 : 73,009.50 = 11,737 : x
  2. Step 2: Convert to fraction form
    48,673/73,009.50 = 11,737/x
  3. Step 3: Cross multiply
    48,673x = 73,009.50 × 11,737
  4. Step 4: Simplify right side
    48,673x = 856,912,501.50
  5. Step 5: Solve for x
    x = 856,912,501.50/48,673
  6. Step 6: Final answer
    x = 17,605.50

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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.