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Finding the Fourth Proportional to 48,230.65, 72,334.63 and 13,161.97

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Solution

The fourth proportional to 48,230.65, 72,334.63 and 13,161.97 is: 19,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,230.65 : 72,334.63 = 13,161.97 : x
  2. Step 2: Convert to fraction form
    48,230.65/72,334.63 = 13,161.97/x
  3. Step 3: Cross multiply
    48,230.65x = 72,334.63 × 13,161.97
  4. Step 4: Simplify right side
    48,230.65x = 952,066,230.02
  5. Step 5: Solve for x
    x = 952,066,230.02/48,230.65
  6. Step 6: Final answer
    x = 19,739.86

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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.