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Finding the Fourth Proportional to 37,158.89, 55,741.89 and 12,199.01

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Solution

The fourth proportional to 37,158.89, 55,741.89 and 12,199.01 is: 18,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,158.89 : 55,741.89 = 12,199.01 : x
  2. Step 2: Convert to fraction form
    37,158.89/55,741.89 = 12,199.01/x
  3. Step 3: Cross multiply
    37,158.89x = 55,741.89 × 12,199.01
  4. Step 4: Simplify right side
    37,158.89x = 679,995,873.53
  5. Step 5: Solve for x
    x = 679,995,873.53/37,158.89
  6. Step 6: Final answer
    x = 18,299.68

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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.