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Finding the Fourth Proportional to 30,499.62, 45,731.34 and 9,433.42

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Solution

The fourth proportional to 30,499.62, 45,731.34 and 9,433.42 is: 14,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.62 : 45,731.34 = 9,433.42 : x
  2. Step 2: Convert to fraction form
    30,499.62/45,731.34 = 9,433.42/x
  3. Step 3: Cross multiply
    30,499.62x = 45,731.34 × 9,433.42
  4. Step 4: Simplify right side
    30,499.62x = 431,402,937.38
  5. Step 5: Solve for x
    x = 431,402,937.38/30,499.62
  6. Step 6: Final answer
    x = 14,144.53

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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.