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Finding the Fourth Proportional to 30,618, 45,920.96 and 8,425.68

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Solution

The fourth proportional to 30,618, 45,920.96 and 8,425.68 is: 12,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 45,920.96 = 8,425.68 : x
  2. Step 2: Convert to fraction form
    30,618/45,920.96 = 8,425.68/x
  3. Step 3: Cross multiply
    30,618x = 45,920.96 × 8,425.68
  4. Step 4: Simplify right side
    30,618x = 386,915,314.25
  5. Step 5: Solve for x
    x = 386,915,314.25/30,618
  6. Step 6: Final answer
    x = 12,636.86

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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.