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Finding the Fourth Proportional to 49,207.48, 73,811.50 and 12,271.48

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Solution

The fourth proportional to 49,207.48, 73,811.50 and 12,271.48 is: 18,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.48 : 73,811.50 = 12,271.48 : x
  2. Step 2: Convert to fraction form
    49,207.48/73,811.50 = 12,271.48/x
  3. Step 3: Cross multiply
    49,207.48x = 73,811.50 × 12,271.48
  4. Step 4: Simplify right side
    49,207.48x = 905,776,346.02
  5. Step 5: Solve for x
    x = 905,776,346.02/49,207.48
  6. Step 6: Final answer
    x = 18,407.29

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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.