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Finding the Fourth Proportional to 56,660.30, 78,207.69 and 37,797.38

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Solution

The fourth proportional to 56,660.30, 78,207.69 and 37,797.38 is: 52,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,660.30 : 78,207.69 = 37,797.38 : x
  2. Step 2: Convert to fraction form
    56,660.30/78,207.69 = 37,797.38/x
  3. Step 3: Cross multiply
    56,660.30x = 78,207.69 × 37,797.38
  4. Step 4: Simplify right side
    56,660.30x = 2,956,045,197.83
  5. Step 5: Solve for x
    x = 2,956,045,197.83/56,660.30
  6. Step 6: Final answer
    x = 52,171.37

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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.