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Finding the Fourth Proportional to 30,600.10, 45,900.15 and 9,825.70

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Solution

The fourth proportional to 30,600.10, 45,900.15 and 9,825.70 is: 14,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,600.10 : 45,900.15 = 9,825.70 : x
  2. Step 2: Convert to fraction form
    30,600.10/45,900.15 = 9,825.70/x
  3. Step 3: Cross multiply
    30,600.10x = 45,900.15 × 9,825.70
  4. Step 4: Simplify right side
    30,600.10x = 451,001,103.86
  5. Step 5: Solve for x
    x = 451,001,103.86/30,600.10
  6. Step 6: Final answer
    x = 14,738.55

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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.