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Finding the Fourth Proportional to 40,099.50, 60,149.25 and 12,397.50

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Solution

The fourth proportional to 40,099.50, 60,149.25 and 12,397.50 is: 18,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,099.50 : 60,149.25 = 12,397.50 : x
  2. Step 2: Convert to fraction form
    40,099.50/60,149.25 = 12,397.50/x
  3. Step 3: Cross multiply
    40,099.50x = 60,149.25 × 12,397.50
  4. Step 4: Simplify right side
    40,099.50x = 745,700,326.88
  5. Step 5: Solve for x
    x = 745,700,326.88/40,099.50
  6. Step 6: Final answer
    x = 18,596.25

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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.