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Finding the Fourth Proportional to 65,797.12, 90,794.46 and 37,115.20

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Solution

The fourth proportional to 65,797.12, 90,794.46 and 37,115.20 is: 51,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,797.12 : 90,794.46 = 37,115.20 : x
  2. Step 2: Convert to fraction form
    65,797.12/90,794.46 = 37,115.20/x
  3. Step 3: Cross multiply
    65,797.12x = 90,794.46 × 37,115.20
  4. Step 4: Simplify right side
    65,797.12x = 3,369,854,541.79
  5. Step 5: Solve for x
    x = 3,369,854,541.79/65,797.12
  6. Step 6: Final answer
    x = 51,215.84

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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.