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Finding the Fourth Proportional to 30,103.90, 41,538.50 and 18,009.38

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Solution

The fourth proportional to 30,103.90, 41,538.50 and 18,009.38 is: 24,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103.90 : 41,538.50 = 18,009.38 : x
  2. Step 2: Convert to fraction form
    30,103.90/41,538.50 = 18,009.38/x
  3. Step 3: Cross multiply
    30,103.90x = 41,538.50 × 18,009.38
  4. Step 4: Simplify right side
    30,103.90x = 748,082,631.13
  5. Step 5: Solve for x
    x = 748,082,631.13/30,103.90
  6. Step 6: Final answer
    x = 24,850.02

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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.