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Finding the Fourth Proportional to 67,353.36, 101,019.16 and 31,814.60

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Solution

The fourth proportional to 67,353.36, 101,019.16 and 31,814.60 is: 47,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,353.36 : 101,019.16 = 31,814.60 : x
  2. Step 2: Convert to fraction form
    67,353.36/101,019.16 = 31,814.60/x
  3. Step 3: Cross multiply
    67,353.36x = 101,019.16 × 31,814.60
  4. Step 4: Simplify right side
    67,353.36x = 3,213,884,167.74
  5. Step 5: Solve for x
    x = 3,213,884,167.74/67,353.36
  6. Step 6: Final answer
    x = 47,716.76

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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.