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Finding the Fourth Proportional to 37,533.38, 51,785.87 and 22,419.32

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Solution

The fourth proportional to 37,533.38, 51,785.87 and 22,419.32 is: 30,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.38 : 51,785.87 = 22,419.32 : x
  2. Step 2: Convert to fraction form
    37,533.38/51,785.87 = 22,419.32/x
  3. Step 3: Cross multiply
    37,533.38x = 51,785.87 × 22,419.32
  4. Step 4: Simplify right side
    37,533.38x = 1,161,003,619.98
  5. Step 5: Solve for x
    x = 1,161,003,619.98/37,533.38
  6. Step 6: Final answer
    x = 30,932.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.