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Finding the Fourth Proportional to 35,025, 48,334.50 and 22,449.78

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Solution

The fourth proportional to 35,025, 48,334.50 and 22,449.78 is: 30,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,025 : 48,334.50 = 22,449.78 : x
  2. Step 2: Convert to fraction form
    35,025/48,334.50 = 22,449.78/x
  3. Step 3: Cross multiply
    35,025x = 48,334.50 × 22,449.78
  4. Step 4: Simplify right side
    35,025x = 1,085,098,891.41
  5. Step 5: Solve for x
    x = 1,085,098,891.41/35,025
  6. Step 6: Final answer
    x = 30,980.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.