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Finding the Fourth Proportional to 30,578.74, 45,875.34 and 9,517.80

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Solution

The fourth proportional to 30,578.74, 45,875.34 and 9,517.80 is: 14,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.74 : 45,875.34 = 9,517.80 : x
  2. Step 2: Convert to fraction form
    30,578.74/45,875.34 = 9,517.80/x
  3. Step 3: Cross multiply
    30,578.74x = 45,875.34 × 9,517.80
  4. Step 4: Simplify right side
    30,578.74x = 436,632,311.05
  5. Step 5: Solve for x
    x = 436,632,311.05/30,578.74
  6. Step 6: Final answer
    x = 14,278.95

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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.