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Finding the Fourth Proportional to 40,517.50, 60,773.19 and 14,224

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Solution

The fourth proportional to 40,517.50, 60,773.19 and 14,224 is: 21,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,517.50 : 60,773.19 = 14,224 : x
  2. Step 2: Convert to fraction form
    40,517.50/60,773.19 = 14,224/x
  3. Step 3: Cross multiply
    40,517.50x = 60,773.19 × 14,224
  4. Step 4: Simplify right side
    40,517.50x = 864,437,854.56
  5. Step 5: Solve for x
    x = 864,437,854.56/40,517.50
  6. Step 6: Final answer
    x = 21,334.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.