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Finding the Fourth Proportional to 48,825, 73,237.50 and 11,889

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Solution

The fourth proportional to 48,825, 73,237.50 and 11,889 is: 17,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,825 : 73,237.50 = 11,889 : x
  2. Step 2: Convert to fraction form
    48,825/73,237.50 = 11,889/x
  3. Step 3: Cross multiply
    48,825x = 73,237.50 × 11,889
  4. Step 4: Simplify right side
    48,825x = 870,720,637.50
  5. Step 5: Solve for x
    x = 870,720,637.50/48,825
  6. Step 6: Final answer
    x = 17,833.50

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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.