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Finding the Fourth Proportional to 30,201.96, 45,282.26 and 15,382.20

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Solution

The fourth proportional to 30,201.96, 45,282.26 and 15,382.20 is: 23,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.96 : 45,282.26 = 15,382.20 : x
  2. Step 2: Convert to fraction form
    30,201.96/45,282.26 = 15,382.20/x
  3. Step 3: Cross multiply
    30,201.96x = 45,282.26 × 15,382.20
  4. Step 4: Simplify right side
    30,201.96x = 696,540,779.77
  5. Step 5: Solve for x
    x = 696,540,779.77/30,201.96
  6. Step 6: Final answer
    x = 23,062.77

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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.