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Finding the Fourth Proportional to 73,814.94, 110,722.95 and 31,659.45

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Solution

The fourth proportional to 73,814.94, 110,722.95 and 31,659.45 is: 47,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,814.94 : 110,722.95 = 31,659.45 : x
  2. Step 2: Convert to fraction form
    73,814.94/110,722.95 = 31,659.45/x
  3. Step 3: Cross multiply
    73,814.94x = 110,722.95 × 31,659.45
  4. Step 4: Simplify right side
    73,814.94x = 3,505,427,699.38
  5. Step 5: Solve for x
    x = 3,505,427,699.38/73,814.94
  6. Step 6: Final answer
    x = 47,489.41

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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.