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Finding the Fourth Proportional to 30,609.42, 45,906.56 and 8,421.72

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Solution

The fourth proportional to 30,609.42, 45,906.56 and 8,421.72 is: 12,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.42 : 45,906.56 = 8,421.72 : x
  2. Step 2: Convert to fraction form
    30,609.42/45,906.56 = 8,421.72/x
  3. Step 3: Cross multiply
    30,609.42x = 45,906.56 × 8,421.72
  4. Step 4: Simplify right side
    30,609.42x = 386,612,194.48
  5. Step 5: Solve for x
    x = 386,612,194.48/30,609.42
  6. Step 6: Final answer
    x = 12,630.50

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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.