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Finding the Fourth Proportional to 72,032.40, 107,999.40 and 32,568

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Solution

The fourth proportional to 72,032.40, 107,999.40 and 32,568 is: 48,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032.40 : 107,999.40 = 32,568 : x
  2. Step 2: Convert to fraction form
    72,032.40/107,999.40 = 32,568/x
  3. Step 3: Cross multiply
    72,032.40x = 107,999.40 × 32,568
  4. Step 4: Simplify right side
    72,032.40x = 3,517,324,459.20
  5. Step 5: Solve for x
    x = 3,517,324,459.20/72,032.40
  6. Step 6: Final answer
    x = 48,829.76

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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.