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Finding the Fourth Proportional to 32,019.16, 48,033.54 and 11,241

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Solution

The fourth proportional to 32,019.16, 48,033.54 and 11,241 is: 16,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.16 : 48,033.54 = 11,241 : x
  2. Step 2: Convert to fraction form
    32,019.16/48,033.54 = 11,241/x
  3. Step 3: Cross multiply
    32,019.16x = 48,033.54 × 11,241
  4. Step 4: Simplify right side
    32,019.16x = 539,945,023.14
  5. Step 5: Solve for x
    x = 539,945,023.14/32,019.16
  6. Step 6: Final answer
    x = 16,863.19

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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.