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Finding the Fourth Proportional to 39,804.48, 59,713.20 and 12,096

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Solution

The fourth proportional to 39,804.48, 59,713.20 and 12,096 is: 18,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804.48 : 59,713.20 = 12,096 : x
  2. Step 2: Convert to fraction form
    39,804.48/59,713.20 = 12,096/x
  3. Step 3: Cross multiply
    39,804.48x = 59,713.20 × 12,096
  4. Step 4: Simplify right side
    39,804.48x = 722,290,867.20
  5. Step 5: Solve for x
    x = 722,290,867.20/39,804.48
  6. Step 6: Final answer
    x = 18,145.97

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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.