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Finding the Fourth Proportional to 30,630.14, 45,916.05 and 9,839.06

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Solution

The fourth proportional to 30,630.14, 45,916.05 and 9,839.06 is: 14,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.14 : 45,916.05 = 9,839.06 : x
  2. Step 2: Convert to fraction form
    30,630.14/45,916.05 = 9,839.06/x
  3. Step 3: Cross multiply
    30,630.14x = 45,916.05 × 9,839.06
  4. Step 4: Simplify right side
    30,630.14x = 451,770,885.70
  5. Step 5: Solve for x
    x = 451,770,885.70/30,630.14
  6. Step 6: Final answer
    x = 14,749.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.