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Finding the Fourth Proportional to 30,292.54, 45,438.84 and 14,493.85

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Solution

The fourth proportional to 30,292.54, 45,438.84 and 14,493.85 is: 21,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.54 : 45,438.84 = 14,493.85 : x
  2. Step 2: Convert to fraction form
    30,292.54/45,438.84 = 14,493.85/x
  3. Step 3: Cross multiply
    30,292.54x = 45,438.84 × 14,493.85
  4. Step 4: Simplify right side
    30,292.54x = 658,583,617.54
  5. Step 5: Solve for x
    x = 658,583,617.54/30,292.54
  6. Step 6: Final answer
    x = 21,740.78

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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.