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Finding the Fourth Proportional to 67,094.88, 100,624.32 and 31,964.64

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Solution

The fourth proportional to 67,094.88, 100,624.32 and 31,964.64 is: 47,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,094.88 : 100,624.32 = 31,964.64 : x
  2. Step 2: Convert to fraction form
    67,094.88/100,624.32 = 31,964.64/x
  3. Step 3: Cross multiply
    67,094.88x = 100,624.32 × 31,964.64
  4. Step 4: Simplify right side
    67,094.88x = 3,216,420,164.04
  5. Step 5: Solve for x
    x = 3,216,420,164.04/67,094.88
  6. Step 6: Final answer
    x = 47,938.38

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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.