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Finding the Fourth Proportional to 30,912.38, 42,659.08 and 16,765.32

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Solution

The fourth proportional to 30,912.38, 42,659.08 and 16,765.32 is: 23,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.38 : 42,659.08 = 16,765.32 : x
  2. Step 2: Convert to fraction form
    30,912.38/42,659.08 = 16,765.32/x
  3. Step 3: Cross multiply
    30,912.38x = 42,659.08 × 16,765.32
  4. Step 4: Simplify right side
    30,912.38x = 715,193,085.19
  5. Step 5: Solve for x
    x = 715,193,085.19/30,912.38
  6. Step 6: Final answer
    x = 23,136.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.