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Finding the Fourth Proportional to 30,066.38, 45,103.89 and 9,291.50

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Solution

The fourth proportional to 30,066.38, 45,103.89 and 9,291.50 is: 13,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,066.38 : 45,103.89 = 9,291.50 : x
  2. Step 2: Convert to fraction form
    30,066.38/45,103.89 = 9,291.50/x
  3. Step 3: Cross multiply
    30,066.38x = 45,103.89 × 9,291.50
  4. Step 4: Simplify right side
    30,066.38x = 419,082,793.94
  5. Step 5: Solve for x
    x = 419,082,793.94/30,066.38
  6. Step 6: Final answer
    x = 13,938.59

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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.