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Finding the Fourth Proportional to 37,897.80, 56,846.70 and 20,375.88

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Solution

The fourth proportional to 37,897.80, 56,846.70 and 20,375.88 is: 30,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.80 : 56,846.70 = 20,375.88 : x
  2. Step 2: Convert to fraction form
    37,897.80/56,846.70 = 20,375.88/x
  3. Step 3: Cross multiply
    37,897.80x = 56,846.70 × 20,375.88
  4. Step 4: Simplify right side
    37,897.80x = 1,158,301,537.60
  5. Step 5: Solve for x
    x = 1,158,301,537.60/37,897.80
  6. Step 6: Final answer
    x = 30,563.82

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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.