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Finding the Fourth Proportional to 37,222.81, 55,832.96 and 9,142.81

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Solution

The fourth proportional to 37,222.81, 55,832.96 and 9,142.81 is: 13,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,222.81 : 55,832.96 = 9,142.81 : x
  2. Step 2: Convert to fraction form
    37,222.81/55,832.96 = 9,142.81/x
  3. Step 3: Cross multiply
    37,222.81x = 55,832.96 × 9,142.81
  4. Step 4: Simplify right side
    37,222.81x = 510,470,099.30
  5. Step 5: Solve for x
    x = 510,470,099.30/37,222.81
  6. Step 6: Final answer
    x = 13,713.91

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1.5x scale

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.