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Finding the Fourth Proportional to 50,448.63, 75,486.09 and 31,578.31

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Solution

The fourth proportional to 50,448.63, 75,486.09 and 31,578.31 is: 47,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.63 : 75,486.09 = 31,578.31 : x
  2. Step 2: Convert to fraction form
    50,448.63/75,486.09 = 31,578.31/x
  3. Step 3: Cross multiply
    50,448.63x = 75,486.09 × 31,578.31
  4. Step 4: Simplify right side
    50,448.63x = 2,383,723,150.71
  5. Step 5: Solve for x
    x = 2,383,723,150.71/50,448.63
  6. Step 6: Final answer
    x = 47,250.50

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1.5x scale

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.