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Finding the Fourth Proportional to 30,285.85, 45,438.07 and 15,505.14

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Solution

The fourth proportional to 30,285.85, 45,438.07 and 15,505.14 is: 23,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.85 : 45,438.07 = 15,505.14 : x
  2. Step 2: Convert to fraction form
    30,285.85/45,438.07 = 15,505.14/x
  3. Step 3: Cross multiply
    30,285.85x = 45,438.07 × 15,505.14
  4. Step 4: Simplify right side
    30,285.85x = 704,523,636.68
  5. Step 5: Solve for x
    x = 704,523,636.68/30,285.85
  6. Step 6: Final answer
    x = 23,262.47

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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.