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Finding the Fourth Proportional to 48,947.92, 73,421.93 and 13,406.64

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Solution

The fourth proportional to 48,947.92, 73,421.93 and 13,406.64 is: 20,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947.92 : 73,421.93 = 13,406.64 : x
  2. Step 2: Convert to fraction form
    48,947.92/73,421.93 = 13,406.64/x
  3. Step 3: Cross multiply
    48,947.92x = 73,421.93 × 13,406.64
  4. Step 4: Simplify right side
    48,947.92x = 984,341,383.62
  5. Step 5: Solve for x
    x = 984,341,383.62/48,947.92
  6. Step 6: Final answer
    x = 20,109.97

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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.