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Finding the Fourth Proportional to 37,302.42, 51,477.34 and 20,535.42

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Solution

The fourth proportional to 37,302.42, 51,477.34 and 20,535.42 is: 28,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302.42 : 51,477.34 = 20,535.42 : x
  2. Step 2: Convert to fraction form
    37,302.42/51,477.34 = 20,535.42/x
  3. Step 3: Cross multiply
    37,302.42x = 51,477.34 × 20,535.42
  4. Step 4: Simplify right side
    37,302.42x = 1,057,108,797.38
  5. Step 5: Solve for x
    x = 1,057,108,797.38/37,302.42
  6. Step 6: Final answer
    x = 28,338.88

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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.