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Finding the Fourth Proportional to 40,123.50, 60,185.25 and 12,421.50

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Solution

The fourth proportional to 40,123.50, 60,185.25 and 12,421.50 is: 18,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,123.50 : 60,185.25 = 12,421.50 : x
  2. Step 2: Convert to fraction form
    40,123.50/60,185.25 = 12,421.50/x
  3. Step 3: Cross multiply
    40,123.50x = 60,185.25 × 12,421.50
  4. Step 4: Simplify right side
    40,123.50x = 747,591,082.88
  5. Step 5: Solve for x
    x = 747,591,082.88/40,123.50
  6. Step 6: Final answer
    x = 18,632.25

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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.