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Finding the Fourth Proportional to 30,285.86, 45,428.27 and 13,634.10

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Solution

The fourth proportional to 30,285.86, 45,428.27 and 13,634.10 is: 20,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.86 : 45,428.27 = 13,634.10 : x
  2. Step 2: Convert to fraction form
    30,285.86/45,428.27 = 13,634.10/x
  3. Step 3: Cross multiply
    30,285.86x = 45,428.27 × 13,634.10
  4. Step 4: Simplify right side
    30,285.86x = 619,373,576.01
  5. Step 5: Solve for x
    x = 619,373,576.01/30,285.86
  6. Step 6: Final answer
    x = 20,450.92

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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.