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Finding the Fourth Proportional to 30,546.92, 45,810.66 and 9,765.56

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Solution

The fourth proportional to 30,546.92, 45,810.66 and 9,765.56 is: 14,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.92 : 45,810.66 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    30,546.92/45,810.66 = 9,765.56/x
  3. Step 3: Cross multiply
    30,546.92x = 45,810.66 × 9,765.56
  4. Step 4: Simplify right side
    30,546.92x = 447,366,900.02
  5. Step 5: Solve for x
    x = 447,366,900.02/30,546.92
  6. Step 6: Final answer
    x = 14,645.24

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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.