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Finding the Fourth Proportional to 73,268.46, 109,893.78 and 31,165.47

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Solution

The fourth proportional to 73,268.46, 109,893.78 and 31,165.47 is: 46,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,268.46 : 109,893.78 = 31,165.47 : x
  2. Step 2: Convert to fraction form
    73,268.46/109,893.78 = 31,165.47/x
  3. Step 3: Cross multiply
    73,268.46x = 109,893.78 × 31,165.47
  4. Step 4: Simplify right side
    73,268.46x = 3,424,891,303.78
  5. Step 5: Solve for x
    x = 3,424,891,303.78/73,268.46
  6. Step 6: Final answer
    x = 46,744.42

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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.