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Finding the Fourth Proportional to 30,304.50, 45,462.43 and 9,246.42

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Solution

The fourth proportional to 30,304.50, 45,462.43 and 9,246.42 is: 13,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.50 : 45,462.43 = 9,246.42 : x
  2. Step 2: Convert to fraction form
    30,304.50/45,462.43 = 9,246.42/x
  3. Step 3: Cross multiply
    30,304.50x = 45,462.43 × 9,246.42
  4. Step 4: Simplify right side
    30,304.50x = 420,364,733.56
  5. Step 5: Solve for x
    x = 420,364,733.56/30,304.50
  6. Step 6: Final answer
    x = 13,871.37

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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.