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Finding the Fourth Proportional to 37,425, 51,596.84 and 31,027.44

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Solution

The fourth proportional to 37,425, 51,596.84 and 31,027.44 is: 42,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,425 : 51,596.84 = 31,027.44 : x
  2. Step 2: Convert to fraction form
    37,425/51,596.84 = 31,027.44/x
  3. Step 3: Cross multiply
    37,425x = 51,596.84 × 31,027.44
  4. Step 4: Simplify right side
    37,425x = 1,600,917,857.29
  5. Step 5: Solve for x
    x = 1,600,917,857.29/37,425
  6. Step 6: Final answer
    x = 42,776.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.