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Finding the Fourth Proportional to 30,516.75, 45,775.94 and 9,740.25

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Solution

The fourth proportional to 30,516.75, 45,775.94 and 9,740.25 is: 14,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.75 : 45,775.94 = 9,740.25 : x
  2. Step 2: Convert to fraction form
    30,516.75/45,775.94 = 9,740.25/x
  3. Step 3: Cross multiply
    30,516.75x = 45,775.94 × 9,740.25
  4. Step 4: Simplify right side
    30,516.75x = 445,869,050.88
  5. Step 5: Solve for x
    x = 445,869,050.88/30,516.75
  6. Step 6: Final answer
    x = 14,610.63

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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.