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Finding the Fourth Proportional to 30,513.38, 45,770.90 and 9,736.88

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Solution

The fourth proportional to 30,513.38, 45,770.90 and 9,736.88 is: 14,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.38 : 45,770.90 = 9,736.88 : x
  2. Step 2: Convert to fraction form
    30,513.38/45,770.90 = 9,736.88/x
  3. Step 3: Cross multiply
    30,513.38x = 45,770.90 × 9,736.88
  4. Step 4: Simplify right side
    30,513.38x = 445,665,483.25
  5. Step 5: Solve for x
    x = 445,665,483.25/30,513.38
  6. Step 6: Final answer
    x = 14,605.58

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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.