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Finding the Fourth Proportional to 30,608.28, 45,910.80 and 9,830.16

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Solution

The fourth proportional to 30,608.28, 45,910.80 and 9,830.16 is: 14,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,608.28 : 45,910.80 = 9,830.16 : x
  2. Step 2: Convert to fraction form
    30,608.28/45,910.80 = 9,830.16/x
  3. Step 3: Cross multiply
    30,608.28x = 45,910.80 × 9,830.16
  4. Step 4: Simplify right side
    30,608.28x = 451,310,509.73
  5. Step 5: Solve for x
    x = 451,310,509.73/30,608.28
  6. Step 6: Final answer
    x = 14,744.72

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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.