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Finding the Fourth Proportional to 30,630.96, 45,935.51 and 10,635.30

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Solution

The fourth proportional to 30,630.96, 45,935.51 and 10,635.30 is: 15,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.96 : 45,935.51 = 10,635.30 : x
  2. Step 2: Convert to fraction form
    30,630.96/45,935.51 = 10,635.30/x
  3. Step 3: Cross multiply
    30,630.96x = 45,935.51 × 10,635.30
  4. Step 4: Simplify right side
    30,630.96x = 488,537,876.33
  5. Step 5: Solve for x
    x = 488,537,876.33/30,630.96
  6. Step 6: Final answer
    x = 15,949.15

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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.