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Finding the Fourth Proportional to 37,857.68, 56,494.86 and 33,250.40

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Solution

The fourth proportional to 37,857.68, 56,494.86 and 33,250.40 is: 49,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.68 : 56,494.86 = 33,250.40 : x
  2. Step 2: Convert to fraction form
    37,857.68/56,494.86 = 33,250.40/x
  3. Step 3: Cross multiply
    37,857.68x = 56,494.86 × 33,250.40
  4. Step 4: Simplify right side
    37,857.68x = 1,878,476,526.69
  5. Step 5: Solve for x
    x = 1,878,476,526.69/37,857.68
  6. Step 6: Final answer
    x = 49,619.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.